SOLUTION: What is the area of a rectangle whose length is four more than four times its width if the perimeter is 42

Algebra.Com
Question 663530: What is the area of a rectangle whose length is four more than four times its width if the perimeter is 42
Answer by ReadingBoosters(3246)   (Show Source): You can put this solution on YOUR website!
a = lw
p = 2l+2w = 42
l=4w+4
Substitute
2(4w+4) + 2w = 42
8w + 8 + 2w = 42
10w = 48 - 8
10w = 40
width = 4
length = 4(4)+4 = 20
...
a = lw
a = 4(20) = 80
**be sure to add units**
..................
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.

RELATED QUESTIONS

Find the area of a rectangle whose length is five less than four times its width and... (answered by josgarithmetic,MathTherapy)
The length of a rectangle is 6 cm more than four times the width. If the perimeter of the (answered by richwmiller)
The perimeter of a rectangle is 100 yd. If its width is four times its length, what is... (answered by josgarithmetic)
The length of a rectangle is two feet more than four times its width. find the width... (answered by oscargut)
The length of a rectangle is four times its width. If the perimeter of the rectangle is (answered by ReadingBoosters)
The length of a rectangle is 2 cm more than four times the width. If the perimeter of the (answered by user_dude2008)
The length of a rectangle is 1cm more than four times the width. If the perimeter of the (answered by mananth)
The length of a rectangle is 9 cm more than four times the width. If the perimeter of the (answered by stanbon)
The length of a rectangle is 10 cm more than four times the width. If the perimeter of... (answered by Zucchini)