Question

The length of a rectangular portrait is 1.5 time the width. The perimeter is 10 feet. What is the length of the portrait?

Answer 1

1 Task

The length of a rectangular portrait is 1.5 time the width. The perimeter is 10 feet. What is the length of the portrait?

2 Solution

Let $w$ to be a width of the portrait and $l$ - the length. From the task formulation we see, that $l=1.5w$. The perimeter can be calculated as

$P=2w+2l=2(w+l)=2(w+1.5w)=2*2.5w$

As we know, $P=10$. So,

$5*w=10$

$w=2$

$l=1.5*w=3$

3 Answer

The length of the portrait is 3 feet.