Question

The perimeter of a rectangle is 13 cm and its breadth is 2⅔ cm. Find its length. want a perfect ans

Answer 1

2(l + w) = 13
2(l + 8/3) = 13
2l + 16/3 = 13
2l = 13-16/3
2l = 39-16/3
2l = 23/3
L = 23/3*2
L = 23/6
L = 3.833cm

Answer 2

$\huge \bold \color{green}{ \underline{ \underline \red{ required \: answer \sf : - }}}$

$\bold{perimeter \:of \: rectangle = 13cm} \\ \bold{breadth \: = 2 \frac{2}{3} cm = \frac{8}{3}cm} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bold{length = l} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

we know that...

perimeter of rectangle = 2(l+b)

$\implies \: 2(l + b) = 13$

according to question

$2(l + \frac{8}{3} ) = 13 \: \: \: \: \: \: \: \\ \\ \implies \: l + \frac{8}{3} = \frac{13}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \: l = \frac{13}{2} - \frac{8}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \: l = \frac{(13 \times 3) - (8 \times 2)}{6} \\ \\ \implies \: l = \frac{39 - 16}{6} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \: l = \frac{23}{6} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \: l = 3 \frac{5}{6} cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{hence, \: length \: of \: rectangle \: is \: 3 \frac{5}{6}cm }$