Answer:
Length = 45 cm , Width = 30 cm .
Step-by-step explanation:
Given : The Perimeter of a rectangle is 150 cm. The length is 15 cm greater than the width.
To find : Find the dimensions.
Solution : We have given
Perimeter of rectangle = 150 cm .
Length is 15 cm greater than the width.
Length = 15 + width .
Formula of perimeter = 2 ( length + width ) .
Plugging the values .
150 = 2 ( width + 15 + width ) .
150 = 2 ( 15 + 2 width ) .
On dividing both sides by 2.
75 = 15 + 2 width .
On subtracting both sides by 15 .
75 - 15 = 2 width .
60 = 2 width.
On dividing both sides by 2.
30 cm = width .
Length = 15 + 30 .
Length = 45 cm
Therefore, Length = 45 cm , Width = 30 cm .
