Question

Sam's rectangular garden measures 1 1 5 1 1 5 yards by 2 5 6 2 5 6 yards. His neighbor, Tess, has a rectangular garden that is 8 1 2 8 1 2 yards long and has a perimeter of 33 yards. What is the ratio of the area of Sam's garden to the area of Tess's garden?

Answer 1

To find the ratio of the area of Sam's garden to the area of Tess's garden, calculate the areas of both gardens and divide them.

Step-by-step explanation:

To find the ratio of the area of Sam's garden to the area of Tess's garden, we first need to calculate the areas of both gardens.

Sam's garden has dimensions of 115 yards by 256 yards, so the area can be found by multiplying the length and width: 115 yards x 256 yards = 29440 square yards.

Tess's garden has a length of 8 1/2 yards and perimeter of 33 yards, so the width can be found by subtracting twice the length from the perimeter: 33 yards - 2(8 1/2 yards) = 16 yards. Therefore, the area of Tess's garden is 8 1/2 yards x 16 yards = 136 square yards.

To find the ratio of the two areas, divide Sam's garden area by Tess's garden area: 29440 square yards / 136 square yards ≈ 216.47.