Question

length of the rectangle is 16cm less than twicwe its
breadth if the perimeter of the rect is 82 cm find
its length and breadth.​

Answer 1

Answer:

Length = 98 cm & Breadth = 57 cm

Step-by-step explanation:

Let the breadth be represented by 'x'.

This implies that, Length = 2x - 16 cm.

Perimeter = 82 cm

We know that perimeter of rectangle = 2(l+b)

So, 82 = 2(2x - 16 + x)

82 = 2(x - 16)

41 = x - 16

x = 57cm

Breadth = 57cm

Length = 2x - 16 = 98cm

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Answer 2

Answer:

$let \: length \: be \: x \:and \: breadth \: be \: y \\ x = 2y - 16 \\ perimeter = 2(x + y)units \\82cm= 2(2y - 16 + y) \\82 \div 2 = 3y - 16 \\ 41 = 3y - 16 \\ 41 + 16 = 3y \\ 3y = 57 \\y= 57 \div 3 \\y=19cm \\ breadth = 19cm \\ length = 2y - 16 \\ = 2(19) - 16 \\ =38 - 16 \\length= 22cm$

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