Question

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

Answer 1

49.5 in^2

$49.5\text{ in}^2$

Explanation:

Data:

. Triangle:

height : h = 7

base : b = 7

. Square:

side : a = 5

Formulas:

Area of a triangle: At

$At\text{ = }\frac{b*h}{2}$

Area of a square: As

$As\text{ = a * a}$

Area of the composite shape: A

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

Solution:

$At\text{ = }\frac{7*7}{2}\text{ = }\frac{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$