2 years ago

A rectangle is 4 cm longer than it is wide, and its area is 117 cm2 . find its dimensions.

Mathematics

2 answers:

Orlov [11]2 years ago

7 0

Answer:

Step-by-step explanation:

its 13 cm

Brilliant_brown [7]2 years ago

3 0

The area of a rectangle is equal L x W

4 cm longer than it is wide L = 4 + W

L x W = 117 we replace L here

(4 + W ) x W = 117

4W + W ^2 = 117

4W + W ^2 -117 = 0
W ^2 +4 W -117 = 0

W² + 4W - 117 = 0


THEN u want to use the use the quadratic formula

OR Factoring gives us

(W + 13)(W - 9) = 0

W = -13 or 9

But it can't be negative, so

W = 9 and L= 9+4 = 13

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