A piece of fabric measures 40 by 38 inches. A triangular scarf with a height of 27 inches and a base of 30 inches is cut from the fabric. How much is left over?

A. 355 in.^2
B. 557.5 in.^2
C. 1115 in.^2
D. 710 in.^2

Question

A piece of fabric measures 40 by 38 inches. A triangular scarf with a height of 27 inches and a base of 30 inches is cut from the fabric. How much is left over?
	
A. 355 in.^2
B. 557.5 in.^2
C. 1115 in.^2
D. 710 in.^2

anonymous · Answer

area of the fabric= 1520 sq inch
area of triangle= .5*27*30 sq inches= 405 sq inches
so, left over= 1520-405 sq inches=1115 sq inches (c)

directrix · Answer

Area of Cloth = L*W and Area of Triangular Flag = ½ b*h
Area of Residual Fabric = 40*38 – ½(27)(30) assuming that the cloth is rectangular.

Area = 1520 – 405
A =  1115 sq in