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;

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answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

care to share were the trapezoid shown is ?