Question

2. 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 1

Dimensions are 24cm by 12cm
I suggest you draw a picture
the formula is 2w+2l=P
put in all of the. information you know
2w+2l=72
you also know that length equals twice the width
l=2w
substitute that into equation
2w+2(2w)=72
2w+4w=72
6w=72
w=12
we have the width, now the length
l=2w
l=2(12)
l=24
length is 24cm
width is 12cm

check:
2(12)+2(24)=72
24+48=72
72=72
answers are correct