A rectangle is 4 cm longer than it is wide, and its area is 117 cm2 . find its dimensions.
2 answers:
Answer:
Step-by-step explanation:
its 13 cm
The area of a rectangle is equal L x W
4 cm longer than it is wide L = 4 + <span>W
</span>
L x W = 117 we replace L here
(4 + <span>W ) x W = 117
</span>
4W + W ^2 = 117
<span>4W + W ^2 -117 = 0
</span>W ^2 +4 W -117 = 0
W² + 4W - 117 = 0
<span>
THEN u want to use the </span>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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