Question

I don’t understand 8. Plz help! We are finding the area of polygons.

Thx in advance!

Answer 1

99.44 square yards to the nearest hundredth.

Explanation:

The perimeter of the rectangle = 2L + 2W where L = length and W = width.

Now we are given that L = W + 1.5 so:-

2L + 2W = 40

Substituting for L:-

2(W + 1.5) + 2W = 40

4W + 3 = 40

4W = 37

W = 37/4 yards.

- and the length = 37/4 + 3/2 = 37/4 + 6/4

= 43/4 yards.

Finally, the area is 37/4 * 43/4

= 1591 / 16

= 99 7/16 square yards

or 99.44 square yards to the nearest hundredth.

Answer 2

Perimeter is adding all 4 sides of a rectangle together.

Since the length is 1-1/2 yards longer than it's width, 2 sides are 1-1/2 yards longer.

So now we know that 2 sides are: 1-1/2 + 1-1/2 = 3 yards longer.

Subtract the 3 yards from the perimeter: 40 -3 = 37 yards.

To find the width, divide 37 yards by 4 sides: 37 / 4 = 9-1/4 yards.

The width is 9-1/4 yards.

The length is the width plus 1-1/2: 9-1/4 + 1-1/2 = 10-3/4 yards.

Check to see if this equals the perimeter: 10-3/4 + 10-3/4 + 9-1/4 + 9-1/4 = 40 yards.

That works out so we now have the length and width.

Area = Length x width

Area = 9-1/4 x 10-3/4 = 99 7/16 square yards.