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What is the area of the composite shape? Show the work & include the formulas for each individual shape. <3

What is the area of the composite shape? Show the work & include the formulas-example-1

1 Answer

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49.5 in^2


49.5\text{ in}^2

Step-by-step explanation:

Data:

. Triangle:

height : h = 7

base : b = 7

. Square:

side : a = 5

Formulas:

Area of a triangle: At


At\text{ = }(b*h)/(2)

Area of a square: As


As\text{ = a * a}

Area of the composite shape: A


A\text{ = }At\text{ }+\text{ }As

Solution:


At\text{ = }(7*7)/(2)\text{ = }(49)/(2)=24.5\text{ in}^2
As=\text{ }5*5=25\text{ }in^2
A\text{ = }24.5\text{ +}25\text{ = }49.5\text{ in}^2

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