If for a rectangle breadth is equal to bracket mein a -3 length is equal to bracket mein 2A + 5 perimeter is 28 CM then area of rectangle is
Answers
Answer:
here ,length= (2a+5)
breadth = (a-3)
so, perimeter =28 cm
28cm=2(l+b)
=2(2a+5+a-3)
=2(3a+2)
= 6a+4
now
6a+4=28
6a=24
a=4
hence,length=2×4+5 =13 cm
breadth=4-3=1 cm
therefore
area of rectangle= l× b
13×1=13 cm^2
Answer:
AREA = 13 CM SQUARE
BREADTH = 1CM
LENGTH = 13CM
Step-by-step explanation:
GIVEN:
length= (2a+5)
breadth = (a-3)
perimeter = 28CM
now we know that
perimeter of rectangle = 2(length + breadth)
putting given values
28 = 2[(a-3)+(2a+5)]
28 = 2[a-3+2a+5]
28 = 2[3a+2]
28÷2 = 3a+2
14 = 3a+2
14-2 = 3a
12 = 3a
12÷3 = a
4 = a
a = 4
hence
breadth = a-3
breadth = 4-3
breadth = 1 CM
AND length = 2a+5
length = 2×4+5
therefore length = 13CM
NOW ACCORDING TO QUESTION
AREA OF RECTANGLE = L × B
area of rectangle = 13 × 1
area of rectangle = 13 CM SQUARE