Area Word Problems Worksheets

Are you a teacher or a parent looking for engaging and educational resources to help your students or children improve their problem-solving skills? If so, you've come to the right place! In this blog post, we will introduce you to area word problem worksheets that are designed to help students understand and apply the concept of area in real-life scenarios.

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What is the area of a rectangle with a length of 5 units and a width of 3 units?

The area of a rectangle is calculated by multiplying its length by its width. In this case, the area of the rectangle with a length of 5 units and a width of 3 units would be 5 units x 3 units = 15 square units.

What is the area of a square with a side length of 8 units?

The area of a square with a side length of 8 units is 64 square units. This is calculated by squaring the length of one side, which in this case is 8 (8 x 8 = 64).

If the area of a triangle is 15 square units and its base is 6 units, what is the height of the triangle?

The height of the triangle can be found using the formula for the area of a triangle, which is A = 1/2 * base * height. Given that the area is 15 square units and the base is 6 units, we can rearrange the formula to find the height as A = 1/2 * 6 * height = 15, which simplifies to 3 * height = 15, and then height = 15 / 3 = 5 units. Therefore, the height of the triangle is 5 units.

A circular garden has a radius of 7 meters. What is the area of the garden?

The area of a circular garden can be calculated using the formula A = ?r^2, where r is the radius of the circle. Substituting the radius of 7 meters into the formula, the area of the garden is approximately 153.94 square meters (A = ? * 7^2 = ? * 49 ? 153.94 m^2).

How many tiles measuring 4 inches by 4 inches are needed to cover a rectangular floor with dimensions of 10 feet by 8 feet?

To cover a rectangular floor with dimensions of 10 feet by 8 feet using tiles measuring 4 inches by 4 inches, you would need a total of 900 tiles. This calculation is made by converting the dimensions of the floor from feet to inches (120 inches by 96 inches) and then dividing the total area of the floor (11,520 square inches) by the area of each tile (16 square inches).

A rectangular garden has an area of 40 square meters. If the length is double the width, what are the dimensions of the garden?

Let's denote the width of the garden as W. Since the length is double the width, the length would be 2W. The area of a rectangle is calculated by multiplying the length and width, so in this case, the area is 40 square meters. Therefore, W * 2W = 40. By solving this equation, we find that the width is 4 meters and the length is 8 meters. Thus, the dimensions of the garden are 4 meters by 8 meters.

The base of a trapezoid is 10 units long, and the height is 6 units. If the area is 45 square units, what is the length of the top side?

Using the formula for the area of a trapezoid, which is 1/2 multiplied by the sum of the lengths of the bases multiplied by the height, we can plug in the values given to us. 45 = 1/2 * (10 + x) * 6, where x represents the length of the top side of the trapezoid. Solving this equation, we can find that x equals 5 units long.

A triangular playground has an area of 60 square feet. If the base is 10 feet and the height is 12 feet, what is the length of the third side?

To find the length of the third side of the triangular playground, we can use the formula for the area of a triangle: Area = 1/2 x base x height. Plugging in the values given, 60 = 1/2 x 10 x 12. This simplifies to 60 = 60, so the area check passes. Therefore, the length of the third side is 14 feet, as given by the Pythagorean theorem for a right-angled triangle with sides 10, 12, and the third side being the hypotenuse.

A rectangular swimming pool has an area of 200 square meters. The length is 15 meters. What is the width of the pool?

To find the width of the rectangular swimming pool, you need to divide the area by the length. So, 200 square meters divided by 15 meters equals a width of 13.33 meters.

If the area of a parallelogram is 48 square units and the base is 8 units, what is the height of the parallelogram?

To find the height of the parallelogram, you can use the formula for the area of a parallelogram, which is base multiplied by height. In this case, the area is given as 48 square units and the base is 8 units. So, using the formula, height = area / base, you can find that the height of the parallelogram is 6 units.