Question

The perimeter of a rectangle whose one side measures 8cm and diagonal is 17cm is

46cm
15cm
none​

Answer 1

Answer:

The answer of this question is 46 cm.

Answer 2

Answer:

➼Finding the length is the first and most important step.

Taking length as =x

Using Pythgoras Theorem -

Hypotenuse - height +base

${17}^{2} = {8}^{2} + {x}^{2} \\ \\ = 289 = 64 + x \\ \\ = 289 - 64 = x \\ \\ = x = 225 \\ \\ {x}^{2} = {15}^{2} \\ \\ x = 15$

So, length = 15cm

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➼Now, as we know that the length is 15cm, we will find perimeter.

$\color{black}\boxed{\colorbox{saffron}{Perimeter-2(length+breadth) }}$

2(15+8)

= 2(23)

=46cm

So, Perimeter = 46cm