Question

Carter is creating quilt pieces in the shape of a kite as shown below. One of the kite diagonals measures 6 inches, and the area of each piece must be between 20 and 25 square inches.

Answer 1

See Explanation

Explanation:

Given

`d_1 =6in` --- the first diagonal

`Area = (20in^2,25in^2)`

The question is incomplete, as the image of the kite and what is required are not given

However, a possible question could be to calculate the length of the other diagonal

Calculating the length of the other diagonal, we have:

`Area = 0.5 * d_1 * d_2`

Make d2 the subject

`d_2 = (Area )/(0.5 * d_1)`

Multiply by 2/2

`d_2 = (2 * Area )/(2* 0.5 * d_1)`

`d_2 = (2 * Area )/(1 * d_1)`

`d_2 = (2 * Area )/(d_1)`

When Area = 20, we have:

`d_2 = (2 * 20)/(6)`

`d_2 = (40)/(6)`

`d_2 = 6.67`

When Area = 25, we have:

`d_2 = (2 * 25)/(6)`

`d_2 = (50)/(6)`

`d_2 = 8.33`

So:

`d_2 = (6.67,8.33)`

This means that the length of the other diagonal is between 6.67in and 8.33in