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Area Problems

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

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

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
The sides of a triangle area in the ratio of 1/3 : 1/4 : 1/5 and its perimeter is 94 cm. Find the length of the smallest side of the triangle .

18 cm
24 cm
27 cm
22.5 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given ratio = 1/3 : 1/4 : 1/5 = 20 : 15 : 12Let length of the sides be 20k, 15k and 12k.Then, according to the question,20k + 15k + 12k = 94? 47k = 94? k = 94/47 = 2Smallest side = 12k = 12 x 2 = 24 cm

Area Problems
A circle and a square have same area. The ratio of the side of the square and the radius of the circle is?

1 : ??
? : 1
1 : ?
?? : 1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? Area of square = Area of circle ? x2 = ?r2? x/r = ?? = ? ? : 1

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

Area Problems
A man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?

40%
20%
30%
10%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

let the side of the square be x meterslength of two sides = 2x metersdiagonal =  2 x = 1.414x m   saving on 2x meters = .59x m   saving % =  0 . 59 x 2 x * 100 %   = 30% (approx)

Area Problems
The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle?

44 cm
49 cm
48 cm
46 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? ?d-d = 105 cm ? (? -1 ) d = 105 cm? [(22/7)-1] x d = 105 cm? d = (7/15) x 105 cm = 49 cm

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