Deloris wants to cover a parallelogram-shaped area of her backyard with yellow, concrete patio stones. Each stone costs $6.42and covers 50square inches. The parallelogram-shaped area in the backyard has a height of nine feet and a base of 12feet.Part A: What is the minimum number of stones that Deloris should buy to cover the parallelogram-shaped area in her backyard? Show your work below

Respuesta :

vaduz

Answer - 225


Area of parallelogram is given by formula = A = height * base

As per the question,

Base of parallelogram-shaped area in the backyard = b = 12 feet = 12*12 = 144 inches  ( 1 feet = 12 inches)

Height of parallelogram-shaped area in the backyard = h = 9 feet = 9*12 = 108 inches  ( 1 feet = 12 inches)

Area of parallelogram-shaped area in the backyard =  A = 108 * 144 = 11232 square inches


area of 1 concrete patio stones = 50 square inches

the minimum number of stones that Deloris should buy to cover the parallelogram-shaped area in her backyard

=area of 1 concrete patio stone ÷ Area of parallelogram-shaped area in the backyard

= 11232 ÷ 50 = 224.64

the minimum number of stones that Deloris should buy to cover the parallelogram-shaped area in her backyard is 225.