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. 17 cm

Answer 1

valicat02 how can you writing this given detail that the width is 8 cm less than the length of a rectangle ?

using w to width and l to length

Answer 2

do you know what is formula of the perimeter of a rectangle ?

Answer 3

please collaborate - i like help you

Answer 4

how many sides has a rectangle ?

Answer 5

4

Answer 6

yes sure 4 sides so from these 4 how many are length and how many are width ?

Answer 7

2 length and 2 width?

Answer 8

yes exactly - very nice

so than you know these details how you think please how will get the perimeter of the rectangle ?

Answer 9

2w + 2l

Answer 10

very nice job - yes sure

so the formula of perimeter of a rectangle is

P = 2l +2w

but you know that in this case the width is 8 cm less than the length of rectangle - what mean this - how can you writing this ?

Answer 11

I'm not sure

Answer 12

so than you know that the length is l so 8 cm less than l how you can writing ?

look please one example : 4 less than x will note x-4

ok. ?

Answer 13

using this example you need writing

8 less than l - so how will be ?

Answer 14

l-8 ?

Answer 15

exactly

so than you can writing that the width w = l - 8

yes ?

Answer 16

so than substitute this l-8 in place of w in the formula of perimeter how will get

P = 2l +2w = ?

Answer 17

P = 2l +2l-8

Answer 18

not exactly bc. there are P = 2l +2w = 2l +2(l-8)

ok. bc. there is 2 multiply w what mean 2 multiply (l-8)

right ?

Answer 19

Yes

Answer 20

so can you distribute the parentheses ?

Answer 21

what mean 2time (l-8) so this mean 2 time l - 2 time 8
yes ?

Answer 22

so using this you can rewriting the formula of perimeter

P = 2l +2(l-8) = 2l +2l -2*8 = ?

continue please

Answer 23

2l +2l = ?

Answer 24

and 2 time 8 = ?

Answer 25

2x8 is 16

Answer 26

yes sure and 2l +2l = ?

Answer 27

two apples plus two apples equal how many apples ?

Answer 28

4

Answer 29

4 apples

so than 2l plus 2l = how many l-es ?

Answer 30

than you assumed 2apples let being 2a plus 2a = 4a

so than 2l +2l = ?

Answer 31

courage please this is easy

Answer 32

so than 2a +2a = 4a so 2l +2l = 4l

right ?

Answer 33

in this case how you can continue this ?

P = 2l +2(l-8) = 2l +2l -2*8 =

Answer 34

@TheSmartOne