Question

From a square piece of cloth of length $80$ in, a parallelogram-shaped cloth of base length $75$ in and height $20$ in is cut. What is the area of the remaining piece of cloth?

• A. $4900i{n}^2$
• B. $1800i{n}^2$
• C. $4800i{n}^2$
• D. $5200i{n}^2$

Answer 1

The correct option is A $4900i{n}^2$

Side length of the square piece $=80$ in
Area of the square piece of cloth
$=80\times 80=6400i{n}^2$
Base length of the parallelogram-shaped piece of cloth $=75in$
Height of the parallelogram-shaped piece of cloth $=20$ in
Area of the parallelogram-shaped piece of cloth $=75\times 20=1500i{n}^2$
Area of the remaining cloth $=$ Area of the square piece of cloth $-$ Area of the parallelogram-shaped piece of cloth $=6400-1500=4900i{n}^2$