The perimeter of a rectangle is 116cm. The length is 10cm greater than twice the width. What is the length of the rectangle? Ple

Question

olasank [31]

2 years ago

8

The perimeter of a rectangle is 116cm. The length is 10cm greater than twice the width. What is the length of the rectangle? Ple

ase show work!

Mathematics

2 answers:

LiRa [457] · Answer 1 · 2022-08-22T14:08:57+03:00

LiRa [457]2 years ago

6 0

2L + 2W = 116
L = 2W + 10
2(2W+10) + 2W = 6W + 20 = 116
6W = 96
W = 16
L = 2W + 10
L = 2(16) + 10 = 32 + 10 = <u><em>42 cm</em></u>

zimovet [89] · Answer 2 · 2022-08-22T16:03:04+03:00

zimovet [89]2 years ago

3 0

Steps:
Write a Let Statement
Write out your equation
Solve for variable

Let
n = the width
2n + 10 = the length
P = 116
P = 2L + 2W

116 = 2(2n +10) +2n
116= 4n + 20 + 2n
116 = 6n + 20
96 = 6n
n = 16
The Length is 42 cm and the width is 16 cm.