Question

8. The area of the parallelogram is 144 sq cm, if its base and height are equal then the base
is
(A) 14cm
(B) 12cm
(C) 72cm
(D) 16cm
9. A park is in the shape of isosceles trapezium whose parallel sides are 120m and 70m,distance between the parallel sides 50m,then its area is
(A) 9500sq.m
(B) 8400sq.m
(C) 420000sq.m
(D) 4750sq.m
10. A swimming pool is in the shape of Rhombus, whose area is 33750sq.m. If one of its
diagonal is 150m,then it's other diagonal is
8400 sq.m
(A) 150m
(B) 225m
(C) 450m
(D) 460m
13​

Answer 1

Answer:

8) D ) 16 cm

9) D) 4750 sq.m

10)c)450m

This answer is absolutely correct answer

Answer 2

Step-by-step explanation:

Solutions:-

8)

Given that

The base and the height of the Parallelogram are equal

Let the base of the Parallelogram be X cm

Then Height = X cm

Area of a Parallelogram = bh sq.units

=> X×X sq.cm

=>X^2 sq.cm

According to the given problem

Area of the given Parallelogram = 144 sq.cm

=> X^2 = 144

=>X=±√144

=>X = ±12 cm

Length of the side can't be negative

X = 12 cm

Base of the paralellogram is 12 cm

Option B

9)

Given that

A park is in the shape of isosceles trapezium whose parallel sides are 120m and 70m

Let a = 120 m and b = 70 m

Distance between the parallel sides 50m

h = 50 m

we know that

Area of a Trapezium = (1/2)h(a+b) sq.units

=> (1/2)×50×(120+70) sq.m

=> (50/2)×(190) sq.m

=> 25 ×190 sq.m

=> 4750 sq.m

Area of the given Trapezium = 4750 sq.m

Option D

10)

Given that

One of the diagonal of a rhombus = 150 m

Let the other diagonal be d2 m

Area of a rhombus = (1/2)×d1 d2 sq.units

=> (1/2)×150×d2 sq.m

=> (150/2)×d2 sq.m

=> 75 d2 sq.m

According to the given problem

Area of the swimming pool whose is in the form of a rhombus = 33750 sq.m

=>75 d2 = 33750

=>d2 = 33750/75

=>d2 = 450 m

The other diagonal = 450 m

Option C

Used formulae:-

• Area of a Parallelogram = bh sq.units
• b= base
• h=height

• Area of a Trapezium = (1/2)h(a+b) sq.units
• a and b are two parallel sides
• h is the distance between two parallel sides

• Area of a rhombus = (1/2)×d1 d2 sq.units
• d1 and d2 are two diagonals of a rhombus