Question

f the perimeter of the rectangle shown is 86 feet, we can use the equation 6x - 10 = 86 to find its dimensions. If the solution to this equation is x = 16, what are the dimensions of the rectangle?

Answer 1

length = 27

breadth = 16

Explanation:

The equation to determine the perimeter of the rectangle is given as

6x-10=86

the solution to above is x=16

Hence one of the side is 16. The formula for perimeter is given as

P=2(l+b)

if b=x =16

and P=86

replacing them inthe formula for perimeter

86=2(l+16)

dividing both sides by 2 we get

43=16+l

subtracting 16 from both sides we get

27=l

Hence the length and breadth of the rectangle are 27 and 16 respectively