# the area of a parallelogram of base 5 cm and height 3.2 cm is

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## Find the area of a parallelogram with base 5 cm and altitude 4.2 cm .

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## Find the area of a parallelogram with base 5 cm and altitude 4.2 cm.

As we know that,Medium Open in App Solution Verified by Toppr

Area of parallelogram = Base × altitude

Given:-

Base of parallelogram =5cm

Altitude =4.2cm Therefore,

Area of parallelogram =5×4.2=21cm

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## Perimeter And Area Exercise 11.2 Solutions

Get NCERT solutions, RS Aggarwal solutions & RD Sharma solutions for class 7 Math Perimeter And Area 11.2 solved by expert mathematics teachers from latest edition books as per NCERT guidelines.

## NCERT Solutions For Class 7 Math

NCERT Solutions For Class 7 Math Perimeter And Area Exercise 11.2

**Question 1**

Find the area of each of the following parallelograms:

**Answer:**

(a)

Given height is 7 cm and base is 4 cm.

Area of the parallelogram is given by,

Area=Base×Height =4×7 =28

Area=Base×Height=4×7=28

Thus, area of parallelogram is

28 cm 2 28 cm2 . (b)

Given height is 3 cm and base is 5 cm.

Area of the parallelogram is given by,

Area=Base×Height =5×3 =15 cm 2

Area=Base×Height=5×3=15 cm2

Thus, area of parallelogram is

15 cm 2 15 cm2 . (c)

Given height is 3.5 cm and base is 2.5 cm.

Area of the parallelogram is given by,

Area=Base×Height =2.5×3.5 =8.75 cm 2

Area=Base×Height=2.5×3.5=8.75 cm2

Thus, area of parallelogram is

8.75 cm 2 8.75 cm2 . (d)

Given height is 4.8 cm and base is 5 cm.

Area of the parallelogram is given by,

Area=Base×Height =4.8×5 =24 cm 2

Area=Base×Height=4.8×5=24 cm2

Thus, area of parallelogram is

24 cm 2 24 cm2 . (e)

Given height is 4.4 cm and base is 2 cm.

Area of the parallelogram is given by,

Area=Base×Height =2×4.4 =8.8 cm 2

Area=Base×Height=2×4.4=8.8 cm2

Thus, area of parallelogram is

8.8 cm 2 8.8 cm2 .

**Question 2**

Find the area of each of the following triangles

**Answer:**

(a)

Given, base of a triangle is 4 cm and height is 3 cm.

Area of the triangle is given by,

Area= 1 2 ×Base×Height Area=12×Base×Height

Substitute the given values in the above formula.

Area= 1 2 ×4×3 = 12 2 =6 cm 2

Area=12×4×3=122=6 cm2

Thus, area of triangle is

6 cm 2 6 cm2 . (b)

Given, base of a triangle is 5 cm and height is 3.2 cm.

Area of the triangle is given by,

Area= 1 2 ×Base×Height Area=12×Base×Height .

Substitute the given values in the above formula.

Area= 1 2 ×5×3.2 =8 cm 2 Area=12×5×3.2=8 cm2

Thus, area of triangle is

8 cm 2 8 cm2 . (c)

Given base of a triangle is 3 cm and height is 4 cm.

Area of the triangle is given by,

Area= 1 2 ×Base×Height Area=12×Base×Height .

Substitute the given values in the above formula.

Area= 1 2 ×3×4 =6 cm 2 Area=12×3×4=6 cm2

Thus, area of triangle is

6 cm 2 6 cm2 . (d)

Given base of a triangle is 3 cm and height is 2 cm.

Area of the triangle is given by,

Area= 1 2 ×Base×Height Area=12×Base×Height

Substitute the given values in the above formula.

Area= 1 2 ×3×2 =3 cm 2 Area=12×3×2=3 cm2

Thus, area of triangle is

3 cm 2 3 cm2 .

**Question 3**

Find the missing values: S.No. Base Height Area of the Parallelogram a. 20 cm 246 cm² b. 15 cm 154.5 cm² c. 8.4 cm 48.72 cm² d. 15.6 cm 16.38 cm²

**Answer:**

(a)

Given base of the parallelogram is 20 cm and area is

246 cm 2 246 cm2 .

Area of parallelogram is given by,

Area=Base×Height Area=Base×Height

Substitute the given values in the above formula.

246=20×Height Height=12.3 cm

246=20×HeightHeight=12.3 cm

Thus, the height of the parallelogram is

12.3 cm 2 12.3 cm2 . (b)

Given height of parallelogram is 15 cm and area is

154.5 cm 2 154.5 cm2 .

Area of parallelogram is given by,

Area=Base×Height Area=Base×Height

Substitute the given values in the above formula.

154.5=Base×15 Base= 154.5 15 Base=10.3 cm

154.5=Base×15Base=154.515Base=10.3 cm

Thus, the base of the parallelogram is

10.3 cm 10.3 cm . (c)

Given height of parallelogram is 8.4 cm and area is

48.72 cm 2 48.72 cm2 .

Area of parallelogram is given by,

Area=Base×Height Area=Base×Height

Substitute the given values in the above formula.

48.72=Base×8.4 Base= 48.72 8.4 Base=5.8 cm

48.72=Base×8.4Base=48.728.4Base=5.8 cm

Thus, the base of the parallelogram is

5.8 cm 5.8 cm . (d)

Given height of parallelogram is 15.6 cm and area is

16.38 cm 2 16.38 cm2 .

Area of parallelogram is given by,

Area=Base×Height Area=Base×Height

Substitute the given values in the above formula.

16.38=15.6×Height Height= 16.38 15.6 Height=1.05 cm

16.38=15.6×HeightHeight=16.3815.6Height=1.05 cm

Thus, the height of the parallelogram is

1.05 cm 1.05 cm .

**Question 4**

Find the missing values:² Base Height Area of Triangle 15 cm ______ 87 cm² _____ 31.4 mm 1256 mm² 22 cm ______ 170.5 cm²

## The area of a parallelogram of base 5 cm and height 3.2 cm isA 8cm^{2}B 12cm^{2}C 16cm^{2}D 20cm^{2}

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The area of a parallelogram of base 5 cm and height 3.2 cm is A

8 c m2 B 12 c m2 C 16 c m2 D 20 c m2

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