Chapter 7.1, Problem 36PPS

To determine

To calculate:To find that how much percent is covered by the mat of their patio.

Answer to Problem 36PPS

Hence, the Mat covers $36\%$ of the Martin’s patio

Explanation of Solution

Given information:

Length of Patio $=20$

Width of patio $=10$

Total area of patio $=?$

Length of mat $=12$

Width of mat $=6$

Area of mat $=?$

Calculation:

As per given information,

Total area of patio $=l\times w$

$=20\times 10$

$=200$

Area of mat $=l\times w$

$=12\times 6$

$=72$

The total area of the patio is $200$ square meters, and the area of the mat is $72$ square meters.

Write the area of the patio covered by the mat in fraction form, then convert to a percent.

Area of mat / Total area of patio $=\frac{72}{200}$

  $=\frac{36}{100}=36\%$

Thus, the Mat covers $36\%$ of the Martin’s patio.