21
Q:

# If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.

 A) 20 B) 30 C) 40 D) 50

Explanation:

Let x and y be the length and breadth of the rectangle respectively.
Then, x - 4 = y + 3 or x - y = 7 ----(i)
Area of the rectangle =xy; Area of the square = (x - 4) (y + 3)
(x - 4) (y + 3) =xy <=> 3x - 4y = 12 ----(ii)
Solving (i) and (ii), we get x = 16 and y = 9.
Perimeter of the rectangle = 2 (x + y) = [2 (16 + 9)] cm = 50 cm.

Q:

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Its area is:

 A) 48 cm2 B) 28 cm2 C) 69 cm2 D) 96 cm2

Explanation:

6 12862
Q:

In a triangle, if the measures of two sides are 5 cm and 8 cm, then the third side can be:

 A) 3 cm B) 14 cm C) 2 cm D) 4 cm

Explanation:

2 6857
Q:

In the given figure, if

 A) 8 cm B) 9 cm C) 11 cm D) 10 cm

Explanation:

2 1628
Q:

In the given figure, $∠APO=35°$ if then which of the following options is correct?

 A) ∠APB = 60° B)  ∠APB = 80° C)  ∠APB = 35° D) ∠APB = 55°

Explanation:

1 13845
Q:

The area of a semicircle is 77 sq.cm. Calculate its perimeter (in cm)

 A) 72 B) 49 C) 98 D) 36

Explanation:

0 7807
Q:

The length of the diagonal and the breadth of a rectangle is 25 cm and 7 cm respectively. Calculate its area (in sq.cm)

 A) 336 B) 168 C) 240 D) 480

Explanation:

0 787
Q:

The area of an equilateral triangle is 18√3 sq.units. Find the value of side (in units) of the triangle.

 A) √2 B) 2√2 C) 3√2 D) 6√2

Explanation:

1 777
Q:

An arc length of 16$π$ units subtends an angle of 240 degrees. Find the radius 9in units) of the circle.

 A) 6 B) 12 C) 24 D) 36