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Area of the rectangle: 112
Step-by-step explanation:
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The area of a triangle is given by
where
b is the length of the base
h is the height
For triangle ABE, we know that
A = 40 (area)
h = 8 (height)
So we can find the length of the base AE:
Now we observe that the base of the rectangle, AD, is the sum of AE and DE, therefore:
We also know the height of the rectangle AB is 8, and that the area of a rectangle is
where b is the base and h the height. Therefore, the area of this rectangle is
Learn more about area of figures:
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