If a rectangle with length 8 and width x has the same perimeter as a

Question

If a rectangle with length 8 and width x has the same perimeter as a square with side of length 6, what is the value of x?

(A) 2 
(B) 4 
(C) 7
(D) 10 
(E) 16

amanvermagmat · Answer

Perimeter of square = 4*side = 4*6 = 24
Perimeter of rectangle = 2(length+width) = 2(8+x)

Equate them, 2(8+x) = 24. This gives x=4

Hence  B answer

JeffTargetTestPrep · Answer

Recall that the formula for the perimeter of a rectangle is 2L + 2W. Thus, we can create the following equation:

2(8) + 2x = (4)(6)

16 + 2x = 24

2x = 8

x = 4

Answer: B

shashankism · Answer

Length of rectangle = 8 
Width of rectangle = x

Perimeter of rectangle = 2(8+x)

Perimeter of square = 4*6

2*(8+x) = 4*6 
8+x = 12 
x = 4

Answer B

chetan2u · Answer

Hi,
Ofcourse Q has already been answered above in the Correct way, just a fun fact/observation.

The side of square would always be AVERAGE of the two sides of rectangle.

So  6=\frac{8+x}{2}......12=8+x..........x=4

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