Respuesta :
Answer:
The fabric is left over be 1402.5 inches² .
Step-by-step explanation:
Formula
Area of a rectangle = Length × Breadth
[tex]Area\ of\ a\ triangle = \frac{1}{2}\ base\ height[/tex]
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.
[tex]Area\ of\ a\ triangular\ scarf = \frac{1}{2}\times 25\times 21[/tex]
[tex]Area\ of\ a\ triangular\ scarf = \frac{1\times 25\times 21}{2}[/tex]
[tex]Area\ of\ a\ triangular\ scarf = \frac{525}{2}[/tex]
= 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 .
