Question

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

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.

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,

                                       $A = a^{2}$................................(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 = $\frac{16}{4}$

                                                                = 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.