Question

the area of a parallelogram and a square are the same if the perimeter of the square is 160 m and the height of the parallelogram is 20 m find the length of the corresponding base of the parallelogram​

Answer 1

Answer:

Given area of square and parallelogram are some.

Area of square =S×S

perimeter of square =4×S

160m=4×S

⇒

4

160

=S

∴S=40cm

Area =40×40=1600m

2

∴ Area of square =1600m

2

∴ Area of parallelogram=Base×height

1600=B×20

20

1600

=B

B=80

∴ corresponding base of the parallelogram is 80m.

Explanation:

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Answer 2

To Find :

• The length of the corresponding base of the parallelogram ........( ? )

Given that,

• Height of the parallelogram = 20m
• Area of parallelogram = Area of square
• Perimeter of Square = 160m

Solution :

We know that,

Perimeter = 4 × side

Therefore, the of the perimeter

» 4 × Side = 160

» Side = 160/4

» Side = 40m

∴ Side of the square is 40m

Now, let's find out, the area of square

We know that,

Area of square = Side × Side

We got, side as 40m , therefore

» Area = 40 × 40

» Area = 1600m²

∴ Area of square is 1600m²

As given that,

Area of parallelogram = Area of square

∴ Area of parallelogram = 1600m²

Now, let's find the length of the corresponding base of parallelogram,

As we know that,

Base of parallelogram = Area / Height

Therefore,

» Base = 1600 / 20

» Base = 80m

∴ The lenght of the corresponding base of parallelogram is 80m.