Question

The sides of a rectangular swimming pool is in the ratio 5:3 and the area of the rectangle is 735 sq. cm.
The length of the rectangle is _______
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Answer 1

Step-by-step explanation:

Given,

ratio of length & breadth of rectangle = 5:3

area of rectangle = 735 cm²

we know,

area = L × B

let the length and breadth be 5x and 3x

now, after inserting the values we got

→ 5x × 3x = 735

→ 15x² = 735

→ x² = 735/15 = 49

→ x = √49 = 7

→ x = 7

therefore, dimensions of the rectangle is

5x = 5(7) = 30cm

3x = 3(7) = 21 cm

therefore, length of the rectangle is 30cm.

hope this answer helps you dear take care!

Answer 2

Given: The sides of a rectangular swimming pool is in the ratio 5:3 and the area of the rectangle is 735 sq. cm.

To find: The length of the rectangle.

Solution:

• Let the size of the rectangle pool be 5x and 3x.
• Area of a rectangle is given by the formula,

        $A = l * b$

• Here, A is the area, l is the length and b is the breadth or width.
• On replacing the terms with the values given in the question, the obtained equation is,

        $735cm^{2} = 5x * 3x$

• On rearranging and solving further, the value of x is found to be,

         $x^{2} = \frac{735}{15}$

         $x = 7$

• So, the length of the rectangle is calculated as

        $5x = 5 (7)$

             $= 35 cm$

Therefore, the length of the rectangle is 5 cm.