Question

the perimeter of a rectangle is 13cm and its width is 11/4. find its length.

Answer 1

perimeter = 2 length + 2 width

P = 2(l) + 2(11/4)

$13 = 2l +2* \frac{11}{4}$

$13 = 2l + \frac{2}{1} * \frac{11}{4}$

$13 = 2l + \frac{22}{4}$     (subtract 22/4 from each side)

$13 -\frac{22}{4} = 2l$

$13 -\frac{11}{2} = 2l$

$\frac{26}{2} -\frac{11}{2} = 2l$

$\frac{15}{2}} = 2l$

$7.5 = 2l$    (divide each side by 2)

7.5 ÷ 2 = l

3.75 = l

The answer is 3.75 or $3 \frac{3}{4}$