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Area Problems

Area Problems
Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is

1.5 m2
0.375 m2
0.75 m2
1.5 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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

5%
6%
9%
4%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
The length and perimeter of a rectangle are the ratio of 5 : 18 What well be the ratio of its length and breadth?

4 : 3
4 : 7
3 : 5
5 : 4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the question,l/[2(l + b)] = 5/18? 10l + 10b = 18l = 10b? l/b = 10/8 = 5/4? l : b = 5 : 4Hence, ratio of length and breadth of a rectangle is 5 : 4

Area Problems
The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is?

154 sq. cm
77 sq. cm
210 sq. cm
147 sq. cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Angle swept in 30 min= 180° Area swept = [(22/7) x 7 x 7] x [180°/360°] cm2 = 77 cm2

Area Problems
The area of a circle of radius 5 is numerically what percent its circumference?

250%
350%
450%
150%

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
The area of a rectangle is thrice that of square. Length of the rectangle is 40 cm and the breadth of the rectangle is ( 3 / 2 ) times that of the side of the square. The side of the square in cm is?

60
30
15
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the side of the square = y cmThen, breadth of the rectangle = 3y/2 cm ? Area of rectangle = (40 x 3y/2) cm2= 60y cm2? 60y = 3y2? y = 20Hence, the side of the square = 20 cm

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