Question

The diagram shows the shape of a schools auditorium stage. What is the area of the stage?

Do number 5

Answer 1

Area of trapezoid:-

• 1/2(Sum of parallel sides×Height)
• 1/2(8+12)×4
• 2(20)
• 40ft²

Area of parallelogram

• BH
• 15(4)
• 60ft²

Total:-

• 60+40=100ft²

Answer 2

100 square feet (100 ft²)

Explanation:

Formula

• Area (trapezoid) = 1/2 x sum of parallel sides x height
• Area (parallelogram) = base x height

Area of stage

• Area (trapezoid) + Area (parallelogram)
• 1/2 x (8 + 12) x 4 + 4 x 15
• 2 x 20 + 60
• 40 + 60
• 100 square feet