Solve The Basic Geometry Questions

1) Which formula is used to find the area of a triangle?

The formula used to find the area of a triangle is 1/2 times base times height.

Explanation

The formula used to find the area of a triangle is 1/2 times base times height.

2) Which formula is used to find the area of a trapezoid?

The formula used to find the area of a trapezoid is (base1 + base2) * height / 2.

Explanation

The formula used to find the area of a trapezoid is (base1 + base2) * height / 2.

3) Which formula is used to find the area of a rectangle?

The formula used to find the area of a rectangle is length multiplied by width.

Explanation

The formula used to find the area of a rectangle is length multiplied by width.

4) The roof of a doghouse is shaped like a parallelogram. The roof has a base of 4.5 feet and a height of 5.2 feet. What is the area of the roof of the doghouse?

The area of a parallelogram is calculated by multiplying the base by the height. In this case, the base of the roof is 4.5 feet and the height is 5.2 feet. Multiplying these values together gives us an area of 23.4 square feet for the roof of the doghouse.

Explanation

The area of a parallelogram is calculated by multiplying the base by the height. In this case, the base of the roof is 4.5 feet and the height is 5.2 feet. Multiplying these values together gives us an area of 23.4 square feet for the roof of the doghouse.

5) Which formula is used to find the area of a parallelogram?

The formula used to find the area of a parallelogram is base multiplied by height.

Explanation

The formula used to find the area of a parallelogram is base multiplied by height.

6) Which formula is used to find the area of a circle?

The formula used to find the area of a circle is πr², where π is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle. This formula is derived from the relationship between the circumference and diameter of a circle. By squaring the radius and multiplying it by π, we can calculate the total area enclosed by the circle's boundary.

Explanation

The formula used to find the area of a circle is πr², where π is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle. This formula is derived from the relationship between the circumference and diameter of a circle. By squaring the radius and multiplying it by π, we can calculate the total area enclosed by the circle's boundary.

7) Which formula is used to find the area of a parallelogram?

The formula used to find the area of a parallelogram is base multiplied by height.

Explanation

The formula used to find the area of a parallelogram is base multiplied by height.

8) Find the area of a rectangle with a base of 2.5 cm and a height of 8.1 cm.

To find the area of a rectangle, we multiply its base by its height. In this case, the base is 2.5 cm and the height is 8.1 cm. Therefore, the area of the rectangle is 2.5 cm * 8.1 cm = 20.25 cm².

Explanation

To find the area of a rectangle, we multiply its base by its height. In this case, the base is 2.5 cm and the height is 8.1 cm. Therefore, the area of the rectangle is 2.5 cm * 8.1 cm = 20.25 cm².

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Explanation

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10) The students had a relay race on field day. The race was arranged in a triangular formation. It had a base of 25 yards and a height of 50 yards. What was the area of the race field?

To find the area of the race field, we can use the formula for the area of a triangle, which is 1/2 times base times height. In this case, the base is 25 yards and the height is 50 yards. Plugging these values into the formula, we get 1/2 times 25 yards times 50 yards, which simplifies to 625 square yards. Therefore, the area of the race field is 625 square yards.

Explanation

To find the area of the race field, we can use the formula for the area of a triangle, which is 1/2 times base times height. In this case, the base is 25 yards and the height is 50 yards. Plugging these values into the formula, we get 1/2 times 25 yards times 50 yards, which simplifies to 625 square yards. Therefore, the area of the race field is 625 square yards.

11) James has a square rug that measures 12.6 feet on each side. Find the area of the rug.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the length of one side of the rug is given as 12.6 feet. So, to find the area, we multiply 12.6 by 12.6. The result is the area of the rug, which is 158.76 square feet.

Explanation

To find the area of a square, we need to multiply the length of one side by itself. In this case, the length of one side of the rug is given as 12.6 feet. So, to find the area, we multiply 12.6 by 12.6. The result is the area of the rug, which is 158.76 square feet.

12) Mrs. Porter is painting purple circles on the sidewalk with a diameter of 14 inches. What is the area of the circles?

To find the area of a circle, we use the formula A = πr², where A is the area and r is the radius. The radius is half the diameter, so in this case, the radius would be 7 inches. Plugging this value into the formula, we get A = π(7)² = 49π square inches.

Explanation

To find the area of a circle, we use the formula A = πr², where A is the area and r is the radius. The radius is half the diameter, so in this case, the radius would be 7 inches. Plugging this value into the formula, we get A = π(7)² = 49π square inches.