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vanessadaniellet21
04.04.2020 •
Mathematics
A rectangle has an area of 135 square meters and has a width that is 6 meters shorter than its length what is the perimeter of the rectangle
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Ответ:
Step-by-step explanation:
length = x m
Width = (x - 6) m
Area = 135 sq.m
length * width = 135
x*(x-6) = 135
x*x - x*6 -135 = 0
x²- 6x - 135 = 0
x² - 15x + 9x - 9*15 = 0
x(x - 15) + 9(x-15) = 0
(x-15)(x + 9) = 0
x - 15 = 0
{x+9=0 is ignored because measurement cannot be a negative number}
x= 15
length = 15 m
width = x - 6 = 15 - 6 = 9 m
Perimeter = 2*(length + width)
= 2*(15 + 9) = 2 * 24 = 48 m
Ответ:
AB=DC
Step-by-step explanation: