Question

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Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

Given :-

Perimeter of Rectangle = 64m.

Area of Rectangle = 207 m²

To Find :-

Length & Breadth of Rectangle ?

Formula used :-

Perimeter of Rectangle = 2( Length + Breadth).

Area of Rectangle = Length * Breadth.

Solution :-

Let us Assume That, Length of Rectangle is L & Breadth is B .

Than,

→ 2(L + B) = 64 --------- Equation (1).

→ L * B = 207 ------------ Equation (2).

Solving Equation (1), we get,

→ 2(L + B) = 64

→ L + B = 32 ------------ Equation (3).

using (a - b)² = (a + b)² - 4ab we get,

→ (L - B)² = (L + B)² - 4*L*B

Putting value of Equation (3) & (2) in RHS, we get,

→ (L - B)² = (32)² - 4 * 207

→ (L - B)² = 1024 - 828

→ (L - B)² = 196

→ (L - B)² = 14²

Square - Root Both sides ,

→ (L - B) = 14 -------------- Equation (4).

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Now, Adding Equation (3) & (4) we get,

→ L + B + L - B = 32 + 14

→ 2L = 46

→ L = 23m. (Ans.)

Putting This value in Equation (3) Now,

→ 23 + B = 32

→ B = 32 - 23

→ B = 9m (Ans.)

Hence, Length of Rectangle is 23m & Breadth is 9m.