Question

Mrs. Alexander wants to make a rectangular quilt that will have an area of 80 square feet So far, she has made 16

squares for the quilt each 2 feet long and 2 feet wide. Does she have enough squares to complete the quilt?​

Answer 1

No, she doesn't have enough square to complete the quilt. Mrs. Alexander need 4 more squares to complete the rectangular quilt, that will have an area of 80 square feet. 20 square required to make quilt.

Explanation:

The given is,

Area of an rectangular quilt - 80 square feet

She made 16 squares

Square have 2 feet long and 2 feet wide

Step:1

Area of rectangular quilt = 80 square feet

Area of 16 squares = 16 × Area of square..................(1)

Formula for area of square,

`A = a^(2)`................................(2)

Where, a - Sides of square

a = Length = Wide

From given,

a = 2 feet

Equation (2) becomes,

`A = 2^(2)`

A = 4 square feet

Equation (1) becomes,

Area of 16 squares = 16 × 4

= 64 square meters

Area of rectangular quilt ≠ Area of 16 squares

80 ≠ 64

Area of square is less compare to area rectangular quilt, so we need more square,

Required amount of square area = 80 - 64

= 16 square feet

Required amount of squares =
`(16)/(4)`

= 4 squares

Total(16+4) square areas = 20 × 4 = 80 square feet

Area of rectangular quilt = Area of 20 squares

80 square feet = 80 square feet

Result:

No, she doesn't have enough square to complete the quilt. Mrs. Alexander need 4 more squares to complete the rectangular quilt, that will have an area of 80 square feet. 20 square required to make quilt.