Question

The width of a rectangle is 8 cm less than its length. The perimeter of the rectangle is 52 cm.


What is the width of the rectangle?

A. 7 cm
B. 9 cm
C.15 cm
D. 17cm

Answer 1

@jim_thompson5910

Answer 2

`The width of a rectangle is 8 cm less than its length`

if the length is L, then what is the width in terms of L?

Answer 3

W=L-8

Answer 4

yes

Answer 5

now we use the perimeter of a rectangle formula

P = 2L + 2W

Answer 6

replace P with 52
replace W with L-8

doing this gives

52 = 2L + 2(L-8)

now solve for L

Answer 7

Would you divide

Answer 8

yes but not right away

Answer 9

l'm sorry but what would be L. Like the number I really don't understand

Answer 10

L stands for the length

it's unknown at this point, but when you solve for L, you figure out what the number for the length is

Answer 11

example: if 2L = 10, then L = 5

Answer 12

52-2L =26

Answer 13

what would 2(L-8) turn into?

Answer 14

2L -8

Answer 15

2L - 16 i mean

Answer 16

so

52 = 2L + 2(L-8)

turns into

52 = 2L + 2L-16

Answer 17

then you combine the 2L terms

2L+2L = 4L

making 52 = 2L + 2L-16 turn into 52 = 4L-16

Answer 18

Which now you divide by by 4 now?

Answer 19

not yet

Answer 20

oh 16 + 52 is 68 and 68 divided by 4 is 17

Answer 21

yep, L = 17

Answer 22

Thanks so much much could be check my other answer i'll post again so you ca get other medal

Answer 23

since L = 17, the width is W = L-8 = 17-8 = 9

Answer 24

Thanks, i forgot about that part

Answer 25

they put that trap in