Question

The length of a rectangle is 14 more than its breadth. If the perimeter is 448 m, find the dimensions of the rectangle.

Answer 1

Let the width of rectangle be a

Length = a + 14

Perimeter = 2 ( Length + width)

=> 448 = 2 ( a+ a + 14)

=> 224 = 2a + 14

=> 2 a = 210

=> a = 105

Width = 105 cm

Length = 105 + 14 = 119 cm

Answer 2

Let it's breadth be x.
Then it's length=(x+14)
According to the question,
2*{x+(x+14)}=448
=> 2*{2x+14}=448
=> 4x+28=448
=> 4x=448-28
=> 4x=420
=> x=420/4
=> x=105
So , it's length=(x+14) m =(105+14) m = 119 m
Hence,it's breadth is 105 m & it's length is 119 m.