A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle?
3 inches x 8 inches
4 inches x 6 inches
5 inches x 4 inches
6 inches x 3 inches

Question

02-06-2017
Advanced Placement (AP)

contestada

A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle?
3 inches x 8 inches
4 inches x 6 inches
5 inches x 4 inches
6 inches x 3 inches

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mreijepatmat mreijepatmat · Answer 1 · 2017-06-02T17:34:42+02:00

mreijepatmat mreijepatmat

02-06-2017

Perimeter = 2(L + W) = 20 or L + W = 10

And Area = L x W = 24

So with have the SUM "S" of 2 numbers and te PRODUCT "P' of same numbers, then

we can apply te quadratic equation X² -SX + P

X² - 10X + 24 = 0, solve this equation and you'll find L = 6 in and W = 4in

or 4 in x 6 in

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A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle? 3 inches x 8 inches 4 inches x 6 inches 5 inches x 4 inches 6 inches x 3 inches

Respuesta :

Otras preguntas

A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle?
3 inches x 8 inches
4 inches x 6 inches
5 inches x 4 inches
6 inches x 3 inches