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Area Problems

Area Problems
The altitude of an equilateral triangle of side 2 ? 3 cm is?

1/2 cm
? 3/2 cm
3 cm
? 3/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 1/2 x 2 ? x h = ?3/4 x (2 ?3)2? h = 3 cm.

Area Problems
A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be

8844
4444
7744
5544

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

length of wire = 2 ?r = 2 x (22/7 ) x 56 = 352 cmside of the square = 352/4 = 88cmarea of the square = 88 x 88 = 7744sq cm

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?

None of these
14cm
13 cm
12 cm

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
The ratio between the length and breadth of a rectangular field is 5:4. If the breadth is 20 meters less than the length, the perimeters of the field is?

260 m
360 m
none of these
280 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length of rectangular field = 5y,so width = 4y.From question5y - 4y = 20m? x = 20m ? Length = (5 x 20)m = 100 mBreadth = (4 x 20) m = 80 m ? Perimeter = 2 (100 + 80 ) m = 360 m

Area Problems
The area of an equilateral triangle is ? 243 /4 sq cm. Find the length of its side.

3?3 cm
?3 cm
3 cm
9 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question,area = ?3a2/4 = ?243 /4? a2 = ?81 x 3/?3 ? a = ?9 = 3 cm

Area Problems
A room 5.44 m x 3.75 m is to be paved with square tiles. the least number of tiles required to cover the floor is?

192
176
184
162

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of the room =(544 x 374) cm2size of largest square tile = H.C.F. of 544 & 374 = 34 cm Area of 1 tile = (34 x 34) cm2? Least number of tiles required = (544 x 374) / (34 x 34) = 176

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