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The vertices are (70,50) (90,60) (90,10) (70,10) find the area!

The vertices are (70,50) (90,60) (90,10) (70,10) find the area!-example-1

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Area of a compound figure

A compound figure can generally be divided into smaller figures and its area is the sum of all the smaller areas.

The image provided can be divided into a triangle and a rectangle (see image below):

The total area is the sum of the area of the triangle and the area of the rectangle.


A_t=(B\cdot H)/(2)

Where B=20 is the base of the triangle and H=10, thus:


A_t=(20\cdot10)/(2)=100

The area of the rectangle is

Ar = W*L, where W=20, L=40

Ar = 20*40 = 800

The total area is 100 + 800 = 900

Total area= 900

The vertices are (70,50) (90,60) (90,10) (70,10) find the area!-example-1
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