675
Q:

# If each side of a square is increased by 25%, find the percentage change in its area?

 A) 65.25 B) 56.25 C) 65 D) 56

Explanation:

let each side of the square be a , then area = $a2$

As given that The side is increased by 25%, then

New side = 125a/100 = 5a/4

New area = $5a42$

Increased area= $25a216-a2$

Increase %=$9a2/16a2*100$  % = 56.25%

Q:

Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?

 A) 118 B) 110 C) 138 D) 128

Explanation:

0 0
Q:

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3 and area of ΔABC is 100 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

 A) 84 B) 16 C) 25 D) 75

Explanation:

2 66
Q:

What is the area (in sq cm) of a rectangle if its diagonal is 26 cm and one of its sides is 10 cm?

 A) 120 B) 240 C) 360 D) 480

Explanation:

2 48
Q:

In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

 A) 40/3% B) 20% C) 25% D) 27%

Explanation:
Let the breadth of the rectangle = x
Length of the the rectangle will be = 3 times of breadth = 3x
So the initial perimeter = 2(length + breadth) = 2(x + 3x) = 8x
New breadth after increase = x + 10x/100 = 1.1x
New length after increase = 3x + 30*3x/100 = 3.9x
New perimeter = 2(1.1x + 3.9x) = 10x
Percentage change in perimeter = ( 10x-8x)*100/8x = 25%

8 160
Q:

The hypotenuse of a right-angled triangle 10 cm and its area is 24 cm^2. If the shorts side is halved and the longer side is double, the new hypotenuse becomes

 A) √245 cm B) √255 cm C) √265 cm D) √275 cm

Explanation:
Hypotenuse = 10cm
Let the other 2 perpendicular sides be a and b
Area ½ a*b = 24
So a*b = 48 cm^2
Also using Pythagoras

2 161
Q:

The angles of a triangle are in the ratio 1 : 1 : 4. If the perimeter of the triangle is k times its largest side, then what is the value of k?

 A) 1 + 2/√3 B) 1 - 2/√3 C) 2 + 2/√3 D) 2

Explanation:

2 132
Q:

The perimeter of a right-angled triangle is k times the shortest side. If the ratio of the other side to hypotenuse is 4 : 6, then what is the value of k?

 A) 2 B) 3 C) 4 D) 5

Explanation:

0 124
Q:

If length of each side of a rhombus PQRS is 8 cm and ∠PQR = 120°, then what is the length (in cm) of QS?

 A) 4√5 B) 6 C) 8 D) 12