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Area Problems

Area Problems
The area of an equilateral triangle whose side is 8 cms is?

4?3 cm2
16?3 cm2
64 cm2
21.3 cm2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Req. Area = ?3/4 x a2 = ?3/4 x 82 cm2= 16?3 cm2

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
146
166

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
The diagonals of a squares is 4?2 cm. The diagonal of another square whose area is double that of the first square is

6 cm
4?2 cm
8 cm
8?2 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Diagonal of square = ?2a [a = side]4?2 = ?2 a a = 4 cmNow, area of square = a2 = (42) = 16Side of a square whose area is 2 x 16.a12 = 32 ? a1 = ?32 ?a14?2Now, diagonal of new square = ?2a = ?2x 4 ?2 = 8 cm

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
27 m
54 m
81 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 diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

9 cm
18 cm
41 cm
20 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√l2 + b2 = √41. Also, lb = 20. (l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81 ⟹ (l + b) = 9. ∴ Perimeter = 2(l + b) = 18 cm

Area Problems
The area of circle is 38.5 sq. cm. Its circumference is?

11 cm
6.20 cm
121 cm
22 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? ( 22 x r2) / 7 = 38.5? r2 =(38.5 x 7) /22? r = 3.5 cm? Circumference = 2 x (22/7) x 3.5 cm= 22 cm

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