Arectangular 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

The area of the given rectangular mat is; 72 ft²

We are given;

Perimeter of Rectangle; P = 36 ft

Length; L = 2w

Formula for perimeter of rectangle is;

P = 2L + 2w

P = 2(2w) + 2w

P = 6w

6w = 36

w = 36/6

w = 6 ft

L = 2w = 2(6)

L = 12 ft

Area of rectangle mat = 12 * 6 = 72 ft²

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QUESTION 1

The perimeter of the mat is given to be

Let the width of the mat be

Then

The formula for finding the perimeter is;

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

QUESTION 2

The length of the rectangular exercise mat is;

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

We substitute the values to obtain;

.

the solution is h=10 because you add 9 to each side of the equation.

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event