Question

The length of a rectangle is 6cm more than its breath if the premiter of a rectangle is 84cm then find the length and breath of the rectangle and also find its area

Answer 1

Answer:

let b = x

length = (x+8)

A/q,

2(2x+8) = 84

2x+8 = 42

2x = 34

x = 17

length = 25

area = 25*17 = 425 cm²

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Answer 2

$\Large\bold{\underline{\underline{Solution:-}}}$

${\textbf{\underline{ Area = 72 cm^2 }}}$

$\huge{\textbf{\underline{As per Question:-}}}$

Let the length of rectangle be l and breadth be b.

Length is 6 cm more than its breadth.

L = 6 + b

Perimeter of rectangle = 84 cm

$\large{\textbf{\underline{Perimeter of Rectangle = 2 (l + b) }}}$

$84 = 2 (l +b)$

$84 = 2 ( 6+b+b)$

$84 = 2 ( 6 + 2b )$

$84 = 12 +12 b$

$84-12 = 12b$

$72 = 12b$

$\therfore b = 6cm$

length = 6 + b

length = 6 + 6 = 12 cm

$\large{\textbf{\underline{Area of Rectangle:-}}}$

$l \times b$

$12 \times 6$

$72 cm^2$