112k views
3 votes
A sheet of cardboard is 1.6 m by 0.8 m. The following shapes are cut from the cardboard: ● a circular piece with radius 12 cm ● a rectangular piece 20 cm by 15 cm ● 2 triangular pieces with base 30 cm and height 10 cm. What is the area of the remaining piece of cardboard in m²? (Consider π = 22/7)

User Ryan Gregg
by
7.9k points

1 Answer

4 votes

Answer:

1.17m²

Explanation:

Total area of cardboard=


1.6 * 0.8 = 1.28m {}^(2)

Area of circular piece=


\pi \: r {}^(2) = ( (22)/(7) )(0.12) {}^(2) = (198)/(4375) m {}^(2)

Area of rectangular piece=


0.2 * 0.15 = 0.03m {}^(2)

Area of 2 triangular pieces=


2( (1)/(2) * 0.3 * 0.1) = 0.03m {}^(2)

Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces


1.28 - (198)/(4375) - 0.03 -0.03 = (21083)/(17500) =1.17m {}^(2)

User Thaeli
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories