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Area Problems

Area Problems
If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.

5%
9%
4%
6%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,Percentage increase in diagonals = 5%

Area Problems
The area of a circle is increased by 22 sq cm when its radius is increased by 1 cm. Find the original radius of the circle.

3 cm
6 cm
3.2 cm
3.5 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let original radius be r.Then, according to the questions,? (r + 1)2 - ?r2 = 22? ? x [(r + 1)2 - r2] = 22? (22/7) x (r + 1 + r ) x (r + 1 - r) = 22? 2r + 1 = 7 ? 2r = 6 ? r = 6/2 = 3 cm

Area Problems
The ratio of the area of two square, one having and double its diagonal than the other is?

2:1
3:1
3:2
4:1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the diagonal of one square be (2d) cmThen, diagonal of another square = d cm? Area of first square = [ 1/2 x (2d)2] cm2Area of second square = (1/2 x d2) cm2? Ratio of area = (2d)2/ d2= 4/1 = 4: 1

Area Problems
The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller?

3 times
2 times
4 times
5 times

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2= (24/12)2= 4

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

Area Problems
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

68
88
40
34

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

We have: l = 20 ft and lb = 680 sq. ft. So, b = 34 ft. ∴ Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft

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