Answered





Okay I know I suck at math and I really don't understand math that well so can you help me on this??? Thank you!





Write an equation to

solve the following. Show all your work, including the steps for

solving the equation and checking your answer. Clearly state your

answer.

The

perimeter of a rectangular photo is 72 cm. The length is twice the

width.
What are the length and width of the photo?
(Hint:

The formula for perimeter is 2w

  • 2l = P

where w is the width,
l is the length, and P

is the perimeter.)

Answer:

Verified Answer :

naǫ

w - width
l - length
p - perimeter

The perimeter is 72 cm (p=72).
The length is twice the width (l=2w).
The formula for perimeter is 2w+2l=P.

\(p=72 \\ l=2w \\ \\ 2w+2l=p \\ 2w+2 \cdot 2w=72 \\ 2w+4w=72 \\ 6w=72 \\ w=12 \\ \\ l=2w=2 \cdot 12 =24\)

Check the answer:
\(2 \cdot 12 + 2 \cdot 24 \stackrel{?}{=} 72 \\ 24+48 \stackrel{?}{=} 72 \\ 72 \stackrel{?}{=} 72 \\ \hbox{true}\)

The length of the photo is 24 cm, the width of the photo is 12 cm.

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