Answer:
The width cannot be negative, so w = 9, l = 16.
Step-by-step explanation:
w = the width
l = w +7
A = l · w
A= w ( w + 7 )
144 = w2 + 7w
0 = w2 + 7w - 144
0 = ( w - 9 )( w + 16 )
The width cannot be negative, so w = 9, l = 16.
The length of the rectangle in inches is 20 inches.
The formula for calculating the area of a rectangle is expressed as
A = LW
L is the length
W is the width
If the length of a rectangle is 7 inches longer than its width, hence;
L = W + 7
The area of the rectangle will become:
A = (W + 7)W
A = W² + 7W
260 = W² + 7W
W² + 7W - 260 = 0
W² + 20W-13W - 260 = 0
W(W+20)-13(W+20) = 0
W - 13 = 0
W = 13in
On factorizing, the width of the rectangle is 13in
Get the length
L = 260/13
L = 20 inches
Hence the length of the rectangle in inches is 20 inches.
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