Question

The area of a rectangle is 105 square centimeters. The width of the rectangle is 7 centimeters. What is the perimeter of the rectangle?

Answer 1

44 because 105 ÷ 7 = 15.
So (7*2)+(15*2)=44

Answer 2

44cm

Explanation:

The information we have is:

Area:
`Area=105cm^2`

width:
`w= 7cm`

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To find the perimeter first we need to find the length of the rectangle.

We find it with the formula for the area of a rectangle:

`Area=width*length`

so clearing for length:

`length=(Area)/(width)`

substituting known values:

`length = (105cm^2)/(7cm)\\ length = 15cm`

And now we can calculate the perimeter:

`perimeter = 2(width+length)\\perimeter = 2(7cm+15cm)\\perimeter =2(22cm)\\perimeter=44cm`

the perimeter of the rectangle is 44cm