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Area Problems

Area Problems
The length of each side of an equilateral triangle having an area of 4?3 cm 2 is?

4/?3 cm
?3/4 cm
3 cm
4 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm

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
0.75 m2
0.375 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
A parallelogram has sides 30m and 14m and one of its diagonals is 40m long. Then its area is

436
236
336
136

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

let ABCD be the given parallelogram  area of parallelogram ABCD = 2 x (area of triangle ABC)  now a = 30m, b = 14m and c = 40m  s=1/2 x (30+14+40) = 42    Area of triangle ABC =  s s - a s - b s - c      = 42 12 28 2 = 168sq m  area of parallelogram ABCD = 2 x 168 = 336 sq m

Area Problems
A hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. the cost of flooring the verandah at the rate of 3.50 per sq. meter is?

Rs. 700
Rs. 500
Rs. 600
Rs. 800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of verandah = [(25 x 20) -(20 x 15)] m2= 200 m2? Cost of flooring = Rs. (200 x 3.50)= Rs. 700

Area Problems
How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material?

2
6
5
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of square plate = (Side)2 = (2d)2= 4d2Area of circular plate = ? (d/2)2= ?d2/4? Number of square plates = [(4d2)/4] / [(?d2)/4]= (4 x 4)/? ? 5Since, nearest integer value is 5.

Area Problems
Find the area of a rectangle having 15m length and 8m breadth.

115 sq m
120 sq m
125 sq m
111 sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required area = Length x Breadth= 15 x 8 = 120 sq m

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