Question

the perimeter of a rectangle carpet is 70 ft. the width is three-fourths the length. find the width

Answer 1

\[W = \frac{3}{4}L \implies L = \frac{4}{3}W\]

Now use:

\[Perimeter = 2(L + W)\]
\[70 = 2 (\frac{4}{3}W + W)\]

Solve it for W..

Answer 2

\[\frac{4}{3}W + W = \frac{4 + 3}{3}W \implies \frac{7}{3}W\]

So you are left with:

\[70 = 2 \times \frac{7}{3}W\]

Now can you solve it??

Answer 3

is the answer 12.35

Answer 4

How??

Answer 5

There in the last equation, multiply by 3 both the sides first and tell me what are you getting??

Answer 6

\[W = \frac{70 \times 3}{7 \times 2}\]

Can you solve it??

Answer 7

is it 15

Answer 8

Yep..

Answer 9

thank you

Answer 10

You are welcome dear..