What are the dimensions of a rectangle which has a perimeter of #48 cm#, if its length is #12 cm# longer than twice its width?
3 Answers
Width:
Length:
Explanation:
Recall that the perimeter of a rectangle is twice the sum of its length and width
So we have
We are also given that the length of the rectangle in question is 12cm longer than twice it width
Then
Then we can plug in
And simplify
Since we know that the perimeter is 48 cm we can say
Then we can plug that in to find l
Width =
Length =
Explanation:
Set:
Translate words into equations:
Equation 1:
Equation 2:
Insert equation 1 into equation 2
Find y through equation 1
The width is
Explanation:
We are told how the length of the rectangle is related to the width, so we can use one variable to define both sides.
Let the width be
The the length is
The perimeter is the sum of two widths and two lengths.
The width is