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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.

6%
4%
9%
5%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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

33
24
30
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the side of the square(ABCD) be x metres. Then, AB + BC = 2x metres. AC = √2x = (1.41x) m. Saving on 2x metres = (0.59x) m. Saving % = ❨ 0.59x x 100 ❩% = 30%

Area Problems
A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is?

14 meters
40 meters
28 meters
24 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance covered in one revolution = total distance travelled / total number of revolution. = ( 88 x 1000) / 1000 m = 88 mWe know that the distance covered in one revolution = circumference of the wheel.? ?d = 88? 22d / 7 = 88? d = 28 m

Area Problems
The side of a square is 5 cm which is 13 cm less than the diameter of a circle. What is the approximate area of the circle?

255 sq cm
265 sq cm
235 sq cm
245 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Diameter of the circle = 13 + 5 = 18 cm? Radius = Diameter/2 =18/2 = 9 cm Area of the circle = ?r2 = (22/7) x 92 = (22 x 81)/9 = 1782/7 = 254.57 sq cm= 255 sq cm

Area Problems
The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas.

9 : 4
9 : 7
9 : 5
9 : 2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the diagonals of the squares be 3x and 2x.? Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)] = 9/4

Area Problems
Find the area of a triangle whose sides measure 8 cm, 10 cm and 12 cm.

8?63 sq cm
6?53 sq cm
5?63 sq cm
7?93 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, a = 8 cm, b = 10 cm and c = 12 cm We know, that s = (a + b + c)/2 = (8 + 10 + 12)/2= 30/2 = 15 cm ? (s - a) = (15 - 8) = 7 cm (s - b) = (15 - 10) = 5 cm (s - c) = (15 - 12) = 3 cm ? Area = ?s(s - a) (s - b) (s - c)= ?15 x 7 x 5 x 3= ?1575= ?25 x 63= 5?63 cm

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