Question

A rectangular exercise mat has a perimeter of 36 feet the length of the mat is twich the width writeand solve an equation to determine the length in feet. Of the mat then find the area in square feet of the mart

Answer 1

QUESTION 1

The perimeter of the mat is given to be $36\:ft.$

Let the width of the mat be $w\:ft$

Then $l=2w...(1)\:ft$

The formula for finding the perimeter is;

$p=2w+2l...(2)$

We substitute the given value of the perimeter and equation (1) into equation (2) to obtain;

$36=2w+2(2w)$

$\Rightarrow 36=2w+4w$

$\Rightarrow 36=6w$

$\Rightarrow 6=w$

QUESTION 2

The length of the rectangular exercise mat is;

$l=2(6)\:ft$

$l=12\:ft$

The area of the rectangular mat can be found using the formula;

$A=l\times w$

We substitute the values to obtain;

$Area=12\times 6\:ft^2$

$Area=72\:ft^2$.

Answer 2

Answer:

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Step-by-step explanation: