Question

ghulam cuts out a rectangle that has a perimeter of 38 inches and a length of 15 inches. He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle?

Answer 1

The new rectangle has a perimeter of 46 inches.

Explanation:

The perimeter of a shape is just all of the side lengths added together.

The length of the original rectangle is 15 inches. Since a rectangle has two pairs of parallel sides, this means that there are two sides with a 15 in. length.

`15+15 = 30`. Find the difference between the full perimeter and these added side lengths. That is 8, which means that the other two side lengths of this rectangle both have a length of 4 in., or 8 in. together.

Now we know that the length of the rectangle is 15 in., and the width is 4 in.

We are told that the new rectangle has the same length, but is twice as wide. So, we can simply multiply the width of the original rectangle (4 in.) by 2, and that will tell us the missing side length:
`4*2 = 8`

So this means that the new rectangle has a length of 15 in. and a width of 8 in. For the perimeter, simply carry out
`15 + 15 + 8 + 8 = 46`, or
`30 + 16 =46`.

So, the new rectangle has a perimeter of 46 in.