Question

Find the area of the figure. PLZ HURRY

Answer 1

132 cm²

Explanation:

Area = rectangle + trapezoid

(7 × 4) + [½(7 + 19) × 8]

28 + 204

132 cm²

Answer 2

132 cm²

Explanation:

This is a composite figure, so we want to find the area of the top rectangle and the bottom trapezoid and then add those together.

The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Here, the length is l = 4 and the width is w = 7, so the area is:

A = lw

A = 7 * 4 = 28 cm²

The area of a trapezoid is denoted by: A =
`((b_1+b_2)*h)/(2)`, where b1 and b2 are the bases and h is the height. Here, the two bases are 7 and 19 and the height is h = 8. So, the area is:

A =
`((b_1+b_2)*h)/(2)`

A =
`((7+19)*8)/(2)=26 *4=104` cm²

Add these together:

28 + 104 = 132 cm²