Question

Julie is cutting rectangles out of fabric to make a quilt. If the rectangles are 2 3/5 inches wide and 3 2/3 inches long, what is the area of four such rectangles?

Answer 1

`9(8)/(15)\text{ inch}^2`

Explanation:

We have been given that a rectangles is 2 3/5 inches wide and 3 2/3 inches long. We are asked to find the area of the rectangle.

We know that area of rectangle is length time width.

`\text{Area of rectangle}=2(3)/(5)\text{ inch}* 3(2)/(3)\text{ inch}`

Convert mixed fraction into improper fractions:

`\text{Area of rectangle}=(13)/(5)\text{ inch}* (11)/(3)\text{ inch}`

`\text{Area of rectangle}=(13)/(5)* (11)/(3)\text{ inch}^2`

`\text{Area of rectangle}=(13*11)/(5*3)\text{ inch}^2`

`\text{Area of rectangle}=(143)/(15)\text{ inch}^2`

`\text{Area of rectangle}=9(8)/(15)\text{ inch}^2`

Therefore, the area of each rectangle is
`9(8)/(15)` square inches.

Answer 2

area of four such rectangles 117.76 inch^2

Explanation:

Given data:

width of rectangle is 23/5 inch

length of rectangle is 32/5 inch

we know that area of rectangle is
`length * width`

putting all value in the above formula to get desired area of rectangle

area of rectangle is
`= (23)/(5) * (32)/(5) = 29.44 inch^2`

hence area of 4 such rectangle will be
`=  4* 29.44 = 117.76  inch^2`