Question

The perimeter of a rectangle is 44. The length is 5 less than double the width . Find the dimensions

Answer 1

Answer:

length = 13 metres

breadth = 9 metres

Step-by-step explanation:

given

perimeter of rectangle = 44 metres

perimeter of a rectangle = 2 (length+breadth)

let the width be X

then,

length = 2X-5

according to the question,

2(2X-5+X) = 44

2(3X-5) = 44

6X-10 = 44

6X = 44+10

6X = 54

X = 54/6

X = 9

width = X= 9 metres

length = 2X-5 = 2×9-5 = 18-5 = 13 metres

check

2 (13+9) = 44

2(22) = 44

44=44

hence checked

additional work:

area of a rectangle = length×breadth

area of the rectangle = 13×9

area of the rectangle = 117 metres²

Answer 2

Answer:

9

Step-by-step explanation: