The length of a rectangle is 12 m more than twice the width. The area of the rectangle is 320 spuare meter. Write an equation that can be used to find the lenght and width of the rectangle. Also find the dimension of the rectangle.
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Answer:
L = 32m
B = 10m
Step-by-step explanation:
The length of a rectangle is 12 m more than twice the width.
L = 12+2B
AREA OF RECTANGLE = L * B = 320 m²
(12+2B)*B = 320
2B² + 12B = 320
2B²+ 12B-320= 0
B² + 6B -160 = 0
B² - 10B +16B -160= 0
B (B-10) +16 (B-10) = 0
B = 10 m
L = 12+2B
= 12 + 20
L = 32m
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