Linear Equations-algebraic method-eleventh grade-5

From Homeworkwiki

Jump to: navigation, search

The length of a hall is twice its breadth. If both the length and the breadth be increased by 2 meters,
the area of the hall will increase by 52 sq. meters. Find the area of the hall.

Solution: Let the breadth be x meters. Then length is 2x meters.

Area = l X b

= (2x)x = 2x2 sq. meters.

(x + 2)(2x + 2) = 2x2 + 52

i.e. 2x2 + 6x + 4 = 2x2 + 52

Therefore, 6x + 4 = 52

i.e. 6x = 52 – 4 = 48

Therefore, x = 48 / 6 = 8

Area = 2x2 = 2 (8)2 = 128 sq. meters.

Personal tools
McAfee SECURE sites help keep you safe from identity theft, credit card fraud, spyware, spam, viruses and online scams