Question

The ratio of the length and breadth of a table top is 2:3 the perimeter of it is 150cm find the area of the table top

Answer 1

Answer:

2x = 30cm

3x =45cm

Step-by-step explanation:

Let the measures be 2x and 3x

2 (l+b) = 150

2 (2x+3x) = 150

5x = 150 ÷ 2

5x = 75

x = 75 ÷ 5

x = 15        2x = 2×15 = 30cm

                 3x = 3×15= 45cm

Answer 2

Let the length and breadth be 2x and 3x respectively

$Perimeter = 2(length+breadth)\\150 = 2(2x+3x)\\\frac{150}{2} = 5x\\75 = 5x\\\frac{75}{5}= x\\ 15 = x$

Lenght = 2x = 2*15 = 30 cm

Breadth = 3x = 3*15 = 45 cm

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