A rectangle has sides of 4x cm and x cm. the sides of the rectangle are all increased by the same length.if the perimeter of the
larger rectangle is 10x + 16, what is the length added to each side, in centimeters?
1 answer:
Answer:
4 cm
Step-by-step explanation:
The perimeter of the original rectangle is ...
P = 2(L+W) = 2(4x + x) = 10x
The perimeter of the larger rectangle after we add "a" to each side is ...
P = 2(L +W)
= 2((4x+a) +(x+a))
= 10x +4a = 10x +16
4a = 16 . . . . . subtract 10x from both sides
a = 4 . . . . . . . divide by 4
The length added to each side is 4 cm.
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