Eighth grade
> t3 ara and perimeter, word problems 6my
a rectangular sheet of metal has an area of 247 square inches. its perimeter is 64 inches. what are
the dimensions of the sheet?

The length and width of the rectangle are 19 inches and 13 inches respectively.

Solution:

Given that , A rectangular sheet of metal has an area of 247 square inches. Its perimeter is 64 inches.

Let the length of rectangle be a and width of rectangle be b.  

The area of rectangle is given as:

The perimeter of rectangle is given as:

Perimeter = 2(length + width)

Then 2(a + b) = 64

a + b = 32 ⇒ (1)

a – b = 6 ---- (2)

Now solve (1) and (2)

2a = 38

a = 19

Then, 19 + b = 32  

b = 32 – 19 = 13  

hence, the length and width of the rectangle are 19 inches and 13 inches respectively.

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step-by-step explanation: