Question

The perimeter of a rectangle is 13 cm and its width is 2 3/4cm. Find its length in cm.

Answer 1

Answer:

☆Solution

let Assume, the length of the rectangle to be X cm.

We Know that,

The perimeter of the rectangle = 2 × (length + Width)

$\green{ \implies}2 \times (x + 2 \frac{3}{4} )$

$\green{ \implies}2(x + \frac{11}{4})$

The perimeter is given to be 13 cm.

Therefore,

$\green{\implies}2(x + \frac{11}{4}) = 13$

$\green{\implies}x + \frac{11}{4} = \frac{13}{2}$

$\green{\implies}x = \frac{13}{2} - \frac{11}{4}$

$\green{\implies} \frac{26}{4} - \frac{11}{4} \pink{=} \blue{\frac{15}{4}} = 3 \frac{3}{4}$

$\purple{\therefore}\small{\color{magenta}{\fbox{\textsf{\textbf{The length of the rectangle is}}}}} 3 \frac{3}{4}$

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