Question

A rectangle swimming pool was 9 meters wide with a surface
area of 90 square meters. What is the length of the pool?

Answer 1

Given :

• Breadth of the rectangle = 9 m.

• Area of the Rectangle = 90 m².

To find :

• The length of the pool = ?

Step-by-step explanation:

Breadth of the rectangle = 9 m. [Given]

Area of the Rectangle = 90 m². [Given]

Now,

We have to find the length of the rectangle,

We know that,

Area of the rectangle = length × breadth

Substituting the values in the above formula, we get,

90 = length × 9

Or, lenght × 9 = 90

length = 90/9

length = 10

Therefore, The Length of the pool = 10 m.

Verification :

It is given that,

Area of the Rectangle = 90 m².

And formula for finding Area of rectangle,

Area of Rectangle = length × breadth

Length = 10 m

Breadth = 9 m

So,

After Substituting the values in the above formula, we get,

90 = 10 × 9

90 = 90

L. H. S = R. H. S

Hence, it is verified.

Answer 2

Given :-

Length of rectangular swimming pool = 9 m

Surface Area of rectangular swimming pool = 90 sq. m

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Find:-

We have to find the length of rectangular swimming pool.

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Solution:-

Surface area of rectangle =

Length× Bredth

NOW , we have given Both breadth and surface area So we can find the lenhth by substituting value of area and Bredth in above formula .

90 = Length × 9

Length = 90/9

Length = 10 m

Here We have find length of rectangular pool = 10 m

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Proof :-

Surface are of rectangle =

Length × Bredth

Now Length = 10 m ( we have yet find)

Bredth = 9 m (Given)

Surface area = 10 × 9

Surface area = 90 sq. m

Hence it Proved that our answer is Correct .

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Hope it helps !