Question

Sarah would like to build a marvelous rectangular frame. The dimensions of the frame are
unknown, but the perimeter of the frame must be 34 yards. The length of the frame is 3
more than the width. What are the dimensions of the frame?

Answer 1

The dimensions of the frame are 10 yards and 7 yards

Step-by-step explanation:

   Let us assume the length of the frame to be $l$ and the breadth to be $b$.

   The perimeter is given to be 34 yards. The perimeter of a rectangle is given by $2(l+b)$.

   Also, it is given that length is 3 more than the breadth. So, $l=b+3$

$34=2(l+b)$

Substituting $l=b+3$ in this equation,

$17=2b+3$

$2b=14$

$b=7$

$l=10$

∴ The length of the frame is 10 yards and breadth is 7 yards.