Review question

# If we know the area-sum and the perimeter-sum, what are the sides? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5505

## Suggestion

There are four separate square enclosures, three of side $\quantity{x}{yd.}$ and one of side $\quantity{y}{yd.}$ The sum of the areas of the enclosures is $\quantity{147}{sq. yd.}$ and the sum of their perimeters is $\quantity{96}{yd.}$ Obtain two equations containing $x$ and $y$ and solve them.

The three green squares here each have side length $x$.

The side of the blue square is chosen to make the sum of the perimeters of the four squares $96$.

Can you find the $x$ value the question requires?

When is the area smallest?

Why is the width of the green and blue squares together constant?