SOLUTION: 1.Find the perimeter of the rectangle if the area is 84(inches squared). The rectangle has a width of 7x and a length of 3x. 2.The area of the square is 196(centimeters square

Algebra ->  Points-lines-and-rays -> SOLUTION: 1.Find the perimeter of the rectangle if the area is 84(inches squared). The rectangle has a width of 7x and a length of 3x. 2.The area of the square is 196(centimeters square      Log On


   

Question 1041732: 1.Find the perimeter of the rectangle if the area is 84(inches squared). The rectangle has a width of 7x and a length of 3x.

2.The area of the square is 196(centimeters squared), find the perimeter.

Thank you for your time,
Answer by ikleyn(52884) About Me  (Show Source):
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1.Find the perimeter of the rectangle if the area is 84(inches squared). The rectangle has a width of 7x and a length of 3x.
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The area of a rectangle is the product of its sides, and it is equal (7x)*(3x) = 21x^2 in this case.

So, you have an equations

21x%5E2 = 84  --->  x%5E2 = 84%2F21 = 4  --->  x = sqrt%284%29 = 2.

Thus, the length of your rectangle is 7*2 = 14 inches and its width is 3*2 = 6 inches.

Having this, can you find the perimeter of the rectangle?


2.The area of the square is 196(centimeters squared), find the perimeter. 

The perimeter is four times the side.

The side = sqrt%28196%29 = 14 centimeters.

Hence, . . . what?