Question

the length of a rectangle is 7 centimetre more than its breadth if the perimeter of the rectangle is 90 cm find its length and breadth​

Answer 1

$\\ \\ \large\underline{ \underline{ \sf{ \red{given:} }}}$

• Length of rectangle is 7cm more than its breadth.

• Perimeter of rectangle = 90cm

$\\ \\ \large\underline{ \underline{ \sf{ \red{to \: find:} }}}$

• Length and breadth.

$\\ \\ \large\underline{ \underline{ \sf{ \red{solution:} }}}$

Let the breadth be 'x' cm.

Length will be 'x+7' cm.

$\\ \boxed{ \sf \: perimeter_{(rectangle)} =2(length + breadth) }$

Putting values we get ,

$\\ \sf \: 90 = 2(x + 7 + x) \\ \\ \sf \: \cancel \frac{90}{2} = 2x + 7 \\ \\ \sf \: 45 = 2x + 7 \\ \\ \sf \: 45 - 7 = 2x \\ \\ \sf \: 38 = 2x \\ \\ \sf \: \pink{x = 19}$

Breadth = x = 19cm

Length = x + 7 = 26cm

Hence , length and breadth are 26cm and 19cm respectively.

ㅤㅤㅤㅤㅤㅤㅤ

Verification :-

2(l+b) = 90

2(26+19) = 90

2(45) = 90

90 = 90ㅤㅤㅤㅤㅤㅤㅤ(verified)