If the perimeter of a rectangle with dimensions (2x+10) and (x+20) is 240 cm, Find the dimensions.

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Solution

perimeter is the sum of lengths and breadths of the rectangle
here the dimension is (2x+10) and ( x+20)
these are length and breadth
we know that rectangle has 4 side ,
perimeter =2 (length +breadth)=240

2(2x+10+x+20)
=2(3x+30)
=6x+60 =240
6x=240-60
6x=180
x = 30
there fore the dimensions are 2x+10 and x+20
= 60+10 aned 50

70, 50

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Question 58

(a) Find all the possible dimensions (in natural numbers) of a rectangle with a perimeter 36 cm and find their areas.

(b) Find all the possible dimensions (in natural numbers) of a rectangle with an area of 36 sq cm and find their perimeters.

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