Katalene wants to make a quilt in the shape of a golden rectangle. She only has enough binding material for a quilt with a perimeter of 29 feet. What should the dimensions of the quilt be?

a.

5.44 ft by 9.06 ft

b.

5.54 ft by 8.96 ft

c.

5.74 ft by 8.76 ft

d.

5.64 ft by 8.86 ft

Question

Mathematics

Anika Gonzales

3 March, 13:12

Katalene wants to make a quilt in the shape of a golden rectangle. She only has enough binding material for a quilt with a perimeter of 29 feet. What should the dimensions of the quilt be?

a.

5.44 ft by 9.06 ft

b.

5.54 ft by 8.96 ft

c.

5.74 ft by 8.76 ft

d.

5.64 ft by 8.86 ft

+5

Answers (1)

Know the Answer?

First Mate · Answer 1

All of these choices would result in a 29-ft perimeter for the quilt.

But choice-b is significantly closer to the golden ratio than the others are.

Golden Ratio = (1/2) (1 + √5) = 1.618 ... (rounded)

Choice a). 1.665 ...

Choice b). 1.617 ...

Choice c). 1.526 ...

Choice d). 1.5709 ...

Katalene wants to make a quilt in the shape of a golden rectangle. She only has enough binding material for a quilt with a perimeter of 29 feet. What should the dimensions of the quilt be?a.5.44 ft by 9.06 ftb.5.54 ft by 8.96 ftc.5.74 ft by 8.76 ftd.5.64 ft by 8.86 ft

Katalene wants to make a quilt in the shape of a golden rectangle. She only has enough binding material for a quilt with a perimeter of 29 feet. What should the dimensions of the quilt be?

a.

5.44 ft by 9.06 ft

b.

5.54 ft by 8.96 ft

c.

5.74 ft by 8.76 ft

d.

5.64 ft by 8.86 ft