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AREA PROBLEMS

Area Problems
if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is?

14cm
12 cm
13 cm
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let each side = x cmThen, (x + 4 )2 - x2 = 60? x 2 + 8x + 16 - x2 = 60? x = 5.5 cm

Area Problems
A veranda 40 meters long 15 meters broad is to paved with stones each measuring 6 dm by 5 dm. the number of stones required is?

3000
None of these
2000
1000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length = (40 x 10 ) dm = 400 dm.Breadth = (15 x 10 ) dm = 150 dm.Area of veranda = (400 x 150 ) dm2Area of one stone = (6 x 5 ) dm2? Required number of stones = (400 x 150) /(6 x 5) = 2000

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?

None of these
81 m
27 m
54 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 breadth of a playground are 36 m and 21 m respectively. Flagstaffs are required to be fixed on all along the boundary at a distance of 3 m apart. The number of flagstaffs will be?

38
37
40
39

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Perimeter = 2 x (36 + 21 ) m = 144 m ? Number of flagstaffs = 144 / 3 = 38

Area Problems
If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is?

15.12 sq.cm
12.62 sq.cm
10 sq.cm
13.52 sq.cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area = 1/2 x (Diagonal)2= (1/2) x 5.2 x 5.2 cm2= 13.52 cm2

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