Question

If the lenght of rectangle is 5 less than 3 times its breadth and perimeter of the rectangle is 22m, then area of the rectangle is ​

Answer 1

Answer:

hope it will be helpful to yo

Answer 2

Given :-

• Perimeter of Rectangle = 22 m
• length of rectangle is 5 less than 3 times its breadth.

To Find :-

• Area of Rectangle

Solution :-

Let breadth be 'x'

and length be '3x - 5'

Perimeter = 22 m

$\huge{\boxed{\color{coral}{Perimeter\:=\:2×(L+B)}}}$

Where,

• L = length
• B = breadth

Substituting the value in the above formula,

$\leadsto22 = 2(3x - 5 + x)$

$\leadsto22 = 6x - 10 + 2x$

$\leadsto22 = 8x - 10$

$\leadsto22 + 10 = 8x$

$\leadsto32 = 8x$

$\leadsto \frac{32}{8} = x$

$\leadsto \frac{ \cancel {32}}{ \cancel {8} } = x$

$\huge{\boxed{\color{indigo}{x\:=\:4m}}}$

Now,

Breadth = x = 4m

Length = 3x - 5 = 3×4 - 5 = 12 - 5 = 7m

$\huge{\boxed{\color{cyan}{Area\:=\:L \times B}}}$

Where,

• L = length
• B = breadth

Substituting the value in the above formula,

$\mapsto{Area\:=\:4 \times 7}$

$\huge{\boxed{\color{magenta}{Area\:=\:28m²}}}$

Hope it helps.......

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