Answer :
Answer:
Step-by-step explanation: 48cm is the ans
2
1Identify the ratio of the areas of Rectangle A and Rectangle B, which is given as 3:5
2Calculate the total ratio by adding the parts of the ratio together. So, 3 + 5 = 8
3Since the total area of both rectangles is
80
2
80cm
2
, and the ratio of the areas is 3:5, we can set up a proportion to find the area of Rectangle A
4Let the total area be
2
xcm
2
. Then, the area of Rectangle A is
3
8
×
8
3
×x
5Set up the equation
5
8
×
=
80
2
8
5
×x=80cm
2
to find the total area x
6Solve for x by multiplying both sides of the equation by
8
5
5
8
to get
=
8
5
×
80
2
x=
5
8
×80cm
2
7Calculate the total area x to find that
=
160
2
x=160cm
2
8Now, to find the area of Rectangle A, subtract the area of Rectangle B from the total area to get
=
−
80
2
A=x−80cm
2
9Calculate the area of Rectangle A to find that
=
160
2
−
80
2
A=160cm
2
−80cm
2
10Conclude that the area of Rectangle A is
48
2
48cm
2
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