Question

How many 4-inch by 4-inch squares can be cut from a rectangular piece of leather measuring 4 feet by two-thirds of a yard?

Answer 1

72

Explanation:

Answer 2

72 squares can be cut from a rectangular piece of leather measuring 4 feet by two-thirds of a yard

Solution:

Given, 4-inch by 4-inch squares can be cut from a rectangular piece of leather measuring 4 feet by two-thirds of a yard

Therefore,

Area of square = 4 x 4 = 16

Thus area of square to be cut is 16 square inches

Rectangular piece of leather measuring 4 feet by two-thirds of a yard

Convert feet to inches

1 feet = 12 inch

4 feet = 4 x 12 = 48 inches

Also,

1 yard = 36 inch

Given is a two-thirds of a yard

`(2)/(3) * 36 = 24\ inches`

Thus area of rectangular piece of leather is:

`Area = 48 * 24 = 1152\ square\ inches`

Total number of squares cut is given as:

`\text{Total number of squares cut} = \frac{\text{area of leather}}{\text{ area of square}}`

Thus we get,

`\text{Total number of squares cut} = (1152)/(16) = 72`

Thus 72 squares can be cut from a rectangular piece of leather measuring 4 feet by two-thirds of a yard