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.
Step-by-step 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,
[tex]A = a^{2}[/tex]................................(2)
Where, a - Sides of square
a = Length = Wide
From given,
a = 2 feet
Equation (2) becomes,
[tex]A = 2^{2}[/tex]
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 = [tex]\frac{16}{4}[/tex]
= 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.
