The area of the rectangular field is given as (3ac+2bc+3ad+2bd) sq.unit. Find the length of the field if the width is (3a+2b) units.
Answers
Answer:
The length of the field is (c+d) units
Step-by-step explanation:
Given : Area of rectangular field = ( 3ac+2bc+3ad+2bd) sq. units
Width of the field = ( 3a + 2b) units
Length of the field = ?
Solution :Area of rectangular field = ( 3ac+2bc+3ad+2bd) sq. units
Rearranging the above equation
= 3ac + 3ad + 2bc + 2bd
Factorizing the above equation
= 3a( c+d) + 2b (c+d)
= (c+d)(3a+2b)
We know, Area = Length x width
Substituting the values
∴ Length = Area/ width
= (c+d) ( 3a+2b) / (3a+2b)
= (c+d) units