Compound Shapes Area Worksheet Answers

Are you a student or teacher in search of comprehensive answers to a compound shapes area worksheet? Look no further! In this blog post, we will provide you with accurate and thorough solutions to help you better understand the concept of finding the area of compound shapes. Whether you are preparing for a math test or looking for additional practice, these answers will serve as a valuable resource for your learning journey.

  Circle Circumference and Area Worksheet

---

  Perimeter of Compound Shapes Worksheet

---

  Volume Cones and Cylinders Worksheet

---

  Cumulative Frequency

---

  Adding One Math Addition Worksheets

---

  Adding One Math Addition Worksheets

---

  Adding One Math Addition Worksheets

---

  Adding One Math Addition Worksheets

---

  Adding One Math Addition Worksheets

---

  Adding One Math Addition Worksheets

---

  Adding One Math Addition Worksheets

---

  Adding One Math Addition Worksheets

---

  Adding One Math Addition Worksheets

---

  Adding One Math Addition Worksheets

---

  Adding One Math Addition Worksheets

---

  Adding One Math Addition Worksheets

---

What is the area of a rectangular garden with length 10 meters and width 5 meters?

The area of a rectangular garden with a length of 10 meters and a width of 5 meters is 50 square meters.

Find the total area of a compound shape formed by a rectangle with length 8 meters and width 6 meters, and a triangle with base 4 meters and height 5 meters.

The total area of the compound shape formed by the rectangle and triangle is 58 square meters. The area of the rectangle is 48 square meters (8m x 6m), and the area of the triangle is 5 square meters (0.5 x 4m x 5m). Adding both areas together, we get 48 square meters + 5 square meters = 58 square meters.

Calculate the area of a compound shape consisting of two squares with side lengths 4 meters and 6 meters, and a semicircle with radius 3 meters.

To calculate the area of the compound shape, we first find the areas of each individual shape. The area of the two squares would be 4^2 + 6^2 = 16 + 36 = 52 square meters. The area of the semicircle would be 1/2 * ? * 3^2 = 1/2 * 3.14 * 9 = 14.13 square meters. So, the total area of the compound shape would be 52 (two squares) + 14.13 (semicircle) = 66.13 square meters.

Determine the total area of a compound shape formed by a trapezoid with bases measuring 5 meters and 10 meters, and a rectangle with width 4 meters and length 7 meters.

To determine the total area of the compound shape, first calculate the area of the trapezoid by using the formula A = 1/2 * (a + b) * h, where a and b are the lengths of the bases (5 and 10 meters respectively) and h is the height (7 meters). The area of the trapezoid is 1/2 * (5 + 10) * 7 = 52.5 square meters. Next, calculate the area of the rectangle by multiplying the width (4 meters) by the length (7 meters), which is 4 * 7 = 28 square meters. Finally, add the areas of the trapezoid and the rectangle together to determine the total area of the compound shape: 52.5 + 28 = 80.5 square meters. Therefore, the total area of the compound shape is 80.5 square meters.

Find the area of a compound shape consisting of a square with side length 9 meters and a triangle with base 6 meters and height 8 meters.

To find the area of the compound shape, we first find the areas of the square and triangle separately, then add them together. The area of the square is side squared, so 9 meters x 9 meters = 81 square meters. The area of the triangle is 0.5 x base x height, which is 0.5 x 6 meters x 8 meters = 24 square meters. Adding the two areas together, the total area of the compound shape is 81 square meters (from the square) + 24 square meters (from the triangle) = 105 square meters.

Calculate the total area of a compound shape formed by a rectangle with length 12 meters and width 5 meters, and a semicircle with radius 6 meters.

First, calculate the area of the rectangle: 12 meters (length) x 5 meters (width) = 60 square meters. Next, find the area of the semicircle, which is half of the area of a full circle: 0.5 x ? x 6 meters (radius)^2 = 18? square meters. So, the total area of the compound shape is the sum of the rectangle and semicircle areas: 60 square meters + 18? square meters ? 115.71 square meters.

Determine the area of a compound shape consisting of a triangle with base 10 meters and height 4 meters, and a trapezoid with bases measuring 6 meters and 8 meters.

To determine the area of the compound shape, first find the area of the triangle using the formula for the area of a triangle: 0.5 * base * height. For the triangle with base 10 meters and height 4 meters, the area is 0.5 * 10 * 4 = 20 square meters. Next, find the area of the trapezoid using the formula for the area of a trapezoid: 0.5 * (base1 + base2) * height. For the trapezoid with bases of 6 meters and 8 meters, and a height of 4 meters, the area is 0.5 * (6 + 8) * 4 = 28 square meters. Therefore, the total area of the compound shape is 20 + 28 = 48 square meters.

Find the total area of a compound shape formed by two congruent rectangles with length 7 meters and width 4 meters, and a semicircle with radius 2 meters.

To find the total area of the compound shape, we first find the total area of the rectangles which is 2 * 7 * 4 = 56 square meters (since there are 2 identical rectangles). Next, we find the area of the semicircle which is 0.5 * ? * r^2 = 0.5 * ? * 2^2 = 2? square meters. Adding the areas of the rectangles and semicircle gives a total area of 56 + 2? square meters, which is approximately 62.28 square meters.

Calculate the area of a compound shape consisting of a square with side length 5 meters, and a semicircle with radius 4 meters.

The total area of the compound shape is the sum of the area of the square and half the area of the circle (since it's a semicircle). The area of the square is side length squared, so it's 5 meters multiplied by 5 meters which equals 25 square meters. The area of the semicircle is half the area of a full circle, so it's 0.5 times pi times radius squared, so 0.5 multiplied by pi multiplied by 4 meters squared is approximately 25.13 square meters. Therefore, the total area of the compound shape is 25 square meters (square area) plus 25.13 square meters (semicircle area) which equals 50.13 square meters.

Determine the area of a compound shape formed by a triangle with base 12 meters and height 9 meters, and a rectangle with length 6 meters and width 3 meters.

To determine the area of the compound shape, first calculate the area of the triangle using the formula for the area of a triangle: 0.5 x base x height. So, the area of the triangle is 0.5 x 12 meters x 9 meters = 54 square meters. Then, calculate the area of the rectangle using the formula for the area of a rectangle: length x width. The area of the rectangle is 6 meters x 3 meters = 18 square meters. Finally, add the areas of the triangle and rectangle to find the total area of the compound shape: 54 square meters + 18 square meters = 72 square meters.