L Multiple Choice Questions
1. Area of the parallelogram is 238 cm. If Base is 17 cm then its height is_
(A) 15cm
(B)
17cm
(C) 14cm
(D) 12cm
2. In a rhombus the diagonals are 7 cm and 4 cm then the Area of rhombus is
(A) 14 cm
(B) 28 cm
(C) 22 cm
(D) 24cm
3. In a Trapezium if the sum of the parallel sides is 16cm and the area is 48 cm, then its height
is
(A) 5cm
(B) 6cm
(C) 7cm
(D) 8cm
4 The Perimeter of a parallelogram whose adjacent sides are x cm and y em is
(A) 2b + h) cm
(B) (x + y)cm
2
(C) 2(x+y)cm
(D) (x+y) cm
Answers
Question :- 1
1. Area of the parallelogram is 238 square cm. If Base is 17 cm then its height is ___
- (A) 15cm
- (B)17cm
- (C) 14cm
- (D) 12cm
Required Answer:-
Given:-
- Area of the parallelogram is 238 square cm.
- Base of the parallelogram is 17cm
To Find:-
- Height of the parallelogram.
Solution:-
We know that:-
Area of a parallelogram = base × height
According to the question:-
238 = 17 × height
=> Height = 238/17
=> Height = 14
Therefore, option (C) 14 is the answer.
Question :- 2
2. In a rhombus the diagonals are 7 cm and 4 cm then the Area of rhombus is ___
- (A) 14 sq.cm
- (B) 28 sq.cm
- (C) 22 sq. cm
- (D) 24 sq. cm
Required Answer:-
Given:-
- Diagonals of rhombus are 7cm and 4cm
To Find:-
- Area of the rhombus
Solution:-
We know that:-
Area of rhombus = pq/2
Where,
- p and q are the diagonals.
According to the question:-
Area of the rhombus = (7×4)/2 square cm
=> Area of the rhombus = 28/2 square cm
=> Area of the rhombus = 14 square cm
Hence, option (A) 14 square cm is the answer.
Question:- 3
3. In a Trapezium if the sum of the parallel sides is 16cm and the area is 48 sq. cm, then its height is ___
- (A) 5cm
- (B) 6cm
- (C) 7cm
- (D) 8cm
Required Answer:-
Given:-
- Sum of the parallel sides is 16cm
- Area of the trapezium is 48sq.cm
To Find:-
- Height of the trapezium
Solution:-
We know that:-
Area of trapezium = (sum of the parallel sides)/2 × height.
According to the question:-
48 = 16/2 × height
=> Height × 16/2 = 48
=> Height = (48 × 2) /16
=> Height = 6
Hence, option (B) 6 cm is the answer
Question:-4
4. The Perimeter of a parallelogram whose adjacent sides are x cm and y cm is ___
- (A) (2b + h) cm
- (B) (x + y)cm
- (C) 2(x+y)cm
- (D) (x+y) cm
Required Answer:-
Given:-
- Adjacent sides of the parallelogram are x cm and y cm
To Find:-
- Perimeter of the parallelogram.
Solution:-
We know that:-
Perimeter of a parallelogram = 2(base + side)
Here, the adjacent sides are actually base and side of the parallelogram respectively.
Therefore,
Perimeter of the parallelogram = 2(x cm + y cm)
=> Perimeter of the parallelogram = 2(x+y) cm
Hence, Option (C) 2(x+y) cm is the answer.