Question

Eric created a rectangular patio using 1-foot square paving stones, which are sold in batches by the dozen. The patio measures 7 feet by 8 feet. How many batches of paving stones did Eric need?

Answer 1

Eric needs 5 batches of paving stones.

Explanation:

Given:

Area of Paving stones = 1 square foot

Dimension of patio are given;

Length of patio = 7 feet

width of patio = 8 feet

We will first find the area of Rectangular patio.

Area of Patio =
`length* width=7*8=56ft^2`

Now Number of paving stones is equal to area of Patio divide by area of paving stones.

Hence equation can be framed as;

Number of Paving stones =
`\frac{\textrm{Area of Patio}}{\textrm{Area of stones}}=(56)/(1)=56 stones`

Now Paving stones are sold in batches which are in dozen.

12 stones are sold = 1 batch

56 stones are sold = number of batches.

By using Unitary method we get;

Number of batches =
`(56)/(12) =4.67`

Since batches cannot be in point value hence we can say

Number of batches = 5

Hence Eric need 5 batches of paving stones.