A rectangle has a perimeter of 84cm and a length of 35cm. What is the width.
Mathematics · High School · Tue Nov 03 2020
Answered on
The formula for getting the perimeter of a rectangle is P= l+w+l+w or P=2l+2w where l is the length and w is the width. To find the value of width, multiply length by 2 and subtract the product by the value of the perimeter then divide the difference by 2 to get the value of width.
> P=2l+2w
> P-2l=2w
Substitute the values of P and l.
> 84-2(35)=2w
> 84-70 =2w
> 14 =2w
Divide both sides by 2 to get the value of w.
> 14 =2w
> 14/2 =2w/2
> 7 =w.
The width of the rectangle is 7cm.