Question

Miscellaneous Sums
3. Find the perimeter of the rectangle whose length is 12 cm and the length of
one diagonal is 13 cm.​

Answer 1

Step-by-step explanation:

$length \: of \: diagonal = \sqrt{ {length}^{2} + {breadth}^{2} }$

$13 = \sqrt{ {12}^{2} + {bredth}^{2} }$

${13}^{2} = 144 + {breadth}^{2}$

$169 - 144 = {breadth}^{2}$

$25 = {breadth}^{2}$

$breadth = 5$

$perimeter \: of \: rectangle = 2 \times (length + breadth)$

$perimeter = 2 \times (12 + 5)$

$= 2 \times 17 = 34$