One side of a rectangle is 20 cm larger than the other side. If you make the smaller side two times larger and the larger side t

Question

3 years ago

9

One side of a rectangle is 20 cm larger than the other side. If you make the smaller side two times larger and the larger side t

hree times larger, then the perimeter of the new rectangle would be 240 cm. Find the lengths of the sides of the original rectangle.

Mathematics

1 answer:

grandymaker [24] · Answer 1 · 2021-11-15T01:54:52+03:00

Let L be the length
Let w be the width
Let p be the perimeter
L+w+L+w=p
L=w+20
3L+2w+3L+2w=240
Sub the first equation in for L in the second equation and solve for w
3(w+20)+2w+3(w+20)+2w=240
3w+60+2w+3w+60+2w=240
10w+120=240
10w=240-120
10w=120
W=120/10
W=12
Sub w into the first equation and solve for L
L=w+20
L=12+20
L=32
Hope this helps!