Question #1590e

2 Answers
Jan 21, 2018

Area of the rectangle is #32# square unit.

Explanation:

Let # x# be the breadth of the rectangle , then #x+4#

is the length of the rectangle. Perimeter of the rectangle

is # P= 2(x+4) +2x= 4x+8 ; P=24 :. 4x+8=24# or

#4x=24-8 =16 or x= 16/4=4 ; x+4=8 :. # The length

and breadth of the rectangle are #8 and 4# unit respectively.

Area of the rectangle is #A=# length #*# breadth

#A= 8*4=32# square unit [Ans]

Jan 21, 2018

I got #32u^2#

Explanation:

Consider the figure:
enter image source here
we can write:
for the perimeter:
#b+4+b+4+b+b=24#
so that:
#4b=16#
and:
#b=16/4=4u#
and:
#a=b+4=4+4=8u#
and:
#"Area"=ab=8*4=32u^2#