Question

A rectangle has an area of 22.44 cm2. When both the length and
width of the rectangle are increased by 1.30 cm, the area of the
rectangle becomes 36.48 cm2. Calculate the length of the longer of
the two sides of the initial rectangle.

Answer 1

Answer:

l=5.1 and b=4.4

Step-by-step explanation:

lb=22.44

(l+1.3)(b+1.3)=36.48

lb+1.3l+1.3b+1.69=36.48

1.3(l+b)=36.48-22.44-1.69

l+b=9.5   ====>   b=9.5-l

lb=22.44   ====>   l(9.5-l)=22.44   ===>    l^2-9.5l+22.44=0

l^2-5.1l-4.4l+22.44=0

l(l-5.1)-4.4(l-5.1)=0    ====>  (l-4.4)(l-5.1)=0    ====> l=4.4 and 5.1

when l=5.1  so b=4.4 (l>b possible)

when l=4.4 so b=5.1 (l<b not possible)