Question

1. The backdrop of the altar in a church is triangular in shape. It has a base of 10.5 meters

and a height of 8.5meters. The priest instructed the layman to cover it from the center with
a white rectangular cloth measuring 4.5 meters long and 4 meters wide. How big was the uncovered backdrop?
A. 26.63 m² B. 18 m²
C. 44.63 m² D. 89.25 m²
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2. A circular portion of a cardboard having 7.6 centimeters radius was being cut out from the entire
squarepiece of a cardboard having a side of 34 centimeters. How big was the remaining piece of
a cardboard?

A.181.37 m² B.974.63 m²
C. 1156 m² D. 219.6 m² ​

Answer 1

#1

Area of triangle backdrop:

• A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²

Area of the cloth:

• A = 4.5*4 = 18 m²

Uncovered area:

• 44.63 - 18 = 26.63 m²

Choice A

#2

Area of the cut piece:

• A = πr² = 3.14*7.6² = 181.37 cm²

Area of the square piece:

• A= a² = 34² = 1156 cm²

Remaining piece is:

• 1156 - 181.37 = 974.63 cm²

Choice B