Question

Calculate the area of the shape below

Answer 1

`225 \: {m}^(2)`

Explanation:

I added a photo of my notes

This figure is formed from a rectangle and a trapezoid

Since the opposite sides of a rectangle are equal, we can find the its area:

A (rectangle) = 9 × 17 = 153 m^2

In order to find the area of a trapezoid, we have to know the length of its altitude:

H = 15 - 9 = 6 m

We know the lengths of both bases, now we can find the area:

A (trapezoid) = 0,5(7 + 17) × 6 = 0,5 × 24 × 6 = 12 × 6 = 72 m^2

Now add these two areas together and we'll get the total area of this figure:

A = 153 + 72 = 225 m^2