The length of a rectangle is ten more than four times the width. Find the dimensions of the rectangle if the perimeter is 240 meters

Answer 1

Set up a series of equations and then make a substitution

Length is ten more than four times the width...

L = 4w + 10

Perimeter General Equation for a rectangle

P = 2L + 2w,

Now substitute the value for P and the expression for L, and simplify

240 = 2(4w + 10) + 2w

240 = 8w + 20 + 2w Distributive Property

240 = 10w + 20 Combining Like Terms

220 = 10w Subtracting 20 from each side

22 = w Dividing both sides by 10

Now that you have an answer for w, substitute back into the equation for L

L = 4w + 10

L = 4(22) + 10

L = 88 + 10

L = 98

Dimensions of rectangle are Length = 98 meters, width = 22 meters