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Area Problems

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

450%
150%
250%
350%

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at ? 20 per m.

? 1750
? 1500
? 1280
? 1300

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the carpet = Area of the room = 8 x 6 = 48 sq mWidth of the carpet = 75/100 = 3/4 mLength of the carpet = 48 x (4/3) = 16 x 4 = 64 m? Cost of carpeting = 64 x 20 = ? 1280

Area Problems
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq meters.

56m
16m
14m
76m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

clearly the cow will graze a circular field of area 9856 sq m and radius equal to the length of the rope.
Let the length of the rope be r mts  then,
r2 = 9856
r2 = (9856 × 7) / 22 = 3136
r = 56 m

Area Problems
Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is

1.5 m2
1.5 m2
0.375 m2
0.75 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of rhombus =(d1 x d2)/2 =(1 x 1.5)/2 m2= 0.75 m2

Area Problems
The length of a rectangular plot is twice of its width. If the length of a diagonal is 9?5 meters, the perimeter of the rectangular is?

54 m
None of these
81 m
27 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = y meters,Then, length = 2y meters? Diagonal = ?y2 + (2y)2 = ?5y2 metersSo, ?5y2 = 9 ?5? y= 9Thus, breadth = 9 m and length = 18 m? Perimeter = 2 (18 + 9) m = 54m.

Area Problems
The length and perimeter of a rectangle are the ratio of 5 : 18 What well be the ratio of its length and breadth?

5 : 4
4 : 7
3 : 5
4 : 3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question,l/[2(l + b)] = 5/18? 10l + 10b = 18l = 10b? l/b = 10/8 = 5/4? l : b = 5 : 4Hence, ratio of length and breadth of a rectangle is 5 : 4

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