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

Question

asked Oct 10, 2023 224k views

1 Answer

Jsamsa · Answer 1 · 2023-10-16T01:56:24+0000

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:

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