Question

The dimensions of a rectangle and a trapezoid are shown. 10 ft 8 ft 7 ft 5 ft 10 ft 20 ft Which statement is true? o The area of the rectangle is 30 square feet greater than the area of the trapezoid. The area of the trapezoid is 8 square feet greater than the area of the rectangle. The area of the trapezoid is 25 square feet greater than the area of the rectangle. The area of the rectangle is 5 square feet greater than the area of the trapezold.

Answer 1

STEP 1

We need to find the area of the two shapes.

$\begin{gathered} \text{Area of rectangle = length x breadth = }8\text{ x 10 = 80 sq ft} \\ \text{Area of trapezoid = }\frac{1}{2}(upper\text{ length + lower length) x perpendicular height} \\ =\text{ }\frac{1}{2}(10+20)\text{ x }5\text{ =75 sq ft} \end{gathered}$

STEP 2

We get the difference between the 2 areas.

80 - 75 = 5 sq ft

Therefore, area of rectangle is greater than that of trapezoid by 5 sq ft (Option 4)