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Area Problems

Area Problems
If a regular hexagon is inscribed in a circle of radius, r then its perimeter?

3r
12r
6r
9r

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each side of hexagoan = radius of circle ? its perimeter = 6r

Area Problems
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

Data inadequate
40
None of these
120

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let breadth = x metres. Then, length = (x + 20) metres. Perimeter = ❨ 5300 ❩ m = 200 m. 26.50 ∴ 2[(x + 20) + x] = 200 ⟹ 2x + 20 = 100 ⟹ 2x = 80 ⟹ x = 40. Hence, length = x + 20 = 60 m

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.

? 1280
? 1500
? 1750
? 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
One diagonal of a rhombus is 60% of the other diagonal. Then, area of the rhombus is how many times the square of the length of the larger diagonal?

6/7
1/5
2/5
3/10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let one diagonal be k.Then, other diagonal = (60k/100) = 3k/5 cmArea of rhombus =(1/2) x k x (3k/5) = (3/10) = 3/10 (square of longer diagonal)Hence, area of rhombus is 3/10 times.

Area Problems
If the radius of a circle is decreased by 50% , find the percentage decrease in its area.

35%
75%
25%
65%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

let original radius = r and  new radius = (50/100) r = r/2   original area =  ?r 2  and new area =  ? r / 2 2   decrease in area =  3 ?r 2 / 4 * 1 ?r 2  *100 = 75%

Area Problems
The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively.

10 cm and 8 cm
6 cm and 10 cm
8 cm and 9 cm
14 cm and 6 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the third side be x.According to the question,x + 20 = 26? x = 26 - 20 = 6 cm ? Each equal side = 20/2 = 10 cm

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