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faltersainse [42]
3 years ago
14

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

Mathematics
2 answers:
Orlov [11]3 years ago
7 0

Answer:

Step-by-step explanation:

its 13 cm

Brilliant_brown [7]3 years ago
3 0
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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