Question

The length and breadth of a rectangle are in the ratio 4 : 3. If its perimeter is 154 cm,

find its length and breadth.

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Answer 1

Answer:

length=44cm breadth=33cm

Explanation:

add unknown variable x to both length and breadth

length is 4x cm

breadth is 3x cm

• as perimeter is the addition of the length and breadths of the rectangle

and as there are two lengths and two breadths in a rectangle

2(4x + 3x)=154cm

2(7x)     =154cm

14x  = 154cm

x=11cm

length is 4*11 =44cm

breadth is 3*11=33cm

Answer 2

Answer:

Let the length of the rectangle be 4x cm and that of breadth = 3x cm

Perimeter = 2(l + b) = 2(4x + 3x) = 2 × 7x = 14x cm

14x = 154

x = 11

Length = 4 × 11 = 44 cm

and breadth = 3 × 11 = 33 cm