Question

the length and width of the rectangle are in ratio 4:3.If the perimeter of the rectangle is 56 m find the length and width of the rectangle​

Answer 1

length = 4x

width = 3x

perimeter = 56 m

also, perimeter = 2 (length + width) [from formula]

therefore, 2(4x + 3x) = 56m

2(7x) = 56m

14x = 56m

x = 56/14 m

x = 4m

Answer 2

Explanation:

Length : width = 4 : 3

Length = 4x

Width = 3x

Perimeter of rectangle = 56 m

2*(length +width ) = 56

2*(4x + 3x) = 56

2*(7x) = 56

14x = 56

Divide both sides by 14

x = 56/14

x = 4

Length = 4x = 4*4 = 16 m

Width = 3x = 4*3 = 12 m