Question

What is the area of this polygon?

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units²

Answer 1

A = (5 x 7) + 1/2(7)(2)
A = 35 + 7
A = 42

answer
42 units²

Answer 2

To find the area of the given polygon, first we will join P and S .

So we have two figures here, a rectangle GPST, and a triangle , PES .

Area of rectangle is length times width .

For the given rectangle, area is GP times PS .

`image`

And for triangle , area is half of the product of height and base.

For the given triangle,

`image`

Total area of the polygon is the sum of areas of rectangle and triangle , that is

`Total \ area = 35+7 = 42 \ square \ units`