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Area Problems

Area Problems
The area of a circle of radius 5 is numerically what percent its circumference?

450%
250%
350%
150%

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
The area of a rectangular field is 15 time the sum of its length and breadth. If the length of that field is 40 m, what is the breadth of that field?

25 m
28 m
32 m
24 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length ot rectangle = 40 mLet breadth of = kThen, according of the question, (40 + k)15 = 40k ? 600 + 15k = 40k ? 25k = 600? k = 24 m

Area Problems
If the radius of a circle is increased by 6%, find the percentage increase in its area.

8.39%
17%
15%
12.36%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, a = 6 According to the formula,Percentage increase in area= 2a + [a2/100]%= 2 x 6 + [36/100]%= (12 + 0.36)%= 12.36%

Area Problems
A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.

176
136
166
146

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

area of the room = 544 x 374 sq.cm size of largest square tile = H.C.F of 544cm and 374 cm= 34 cm area of 1 tile = 34x34 sq cm no. of tiles required = (544 x 374) / (34 x 34) = 176

Area Problems
A triangle with three equal sides has its area equal to 3?3 sq cm . Find its perimeter .

2?3 cm
6?3 cm
7?3 cm
5?3 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question,?3a2/4 = 3?3 [ side = a, and area = ?3a2/4] ? a2/4 = 3 ? a2 = 3 x 4 ? a = 2?3? Required perimeter = 3a =3 x 2?3 = 6?3 cm

Area Problems
The two parallel sides of a trapezium are 1 meters and 2 meters respectively . The perpendicular distance between them is 6 meters. The area of the trapezium is?

12 sq. meters .
6 sq. meters .
18 sq. meters .
9 sq. meters .

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of trapezium = 1/2 x sum of parallel sides x perpendicular distance between them= 1/2 (1 + 2) x 6 m2= 9 m2

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