Question

A rectangular piece of fabric measures 37 by 45 inches. A triangular scarf with a height of 21 inches and a base of 25 inches is cut from the fabric. How much fabric is left over?

2,190 in.2

36 in.2

1,140 in.2

1,402.5 in.2

Answer 1

The fabric is left over be 1402.5 inches² .

Explanation:

Formula

Area of a rectangle = Length × Breadth

`Area\ of\ a\ triangle = (1)/(2)\ base\ height`

As given

A rectangular piece of fabric measures 37 by 45 inches.

Put all the values in the formula

Area of a rectanglar piece of fabric = 37 × 45

= 1665 inches²

A triangular scarf with a height of 21 inches and a base of 25 inches is cut from the fabric.

`Area\ of\ a\ triangular\ scarf = (1)/(2)* 25* 21`

`Area\ of\ a\ triangular\ scarf = (1* 25* 21)/(2)`

`Area\ of\ a\ triangular\ scarf = (525)/(2)`

= 262.5 inches²

Thus

Fabric is left over = Area of a rectanglar piece of fabric - Area of a triangular scarf

Fabric is left over = 1665 - 262.5

= 1402.5 inches²

Therefore the fabric is left over be 1402.5 inches² .