A rectangular piece of cardboard has a width of x and a length of y. When 15 centimeters is trimmed from the width and 25 centimeters is trimmed from the length, which expressions describe the remaining piece of cardboard?
Classify each expression below according to whether it represents the perimeter, area, or neither of these.
Answers
Step-by-step explanation:
Given:-
A rectangular piece of cardboard has a width of x and a length of y.
When 15 centimeters is trimmed from the width and 25 centimeters is trimmed from the length
To find:-
Expressions represents perimeter,area .
which expressions describe the remaining pieceof cardboard?
Solution:-
Length of the rectangular piece of cardboard=(l)=y cm
Breadth of the rectangular piece of cardboard=(b)=x cm
Perimeter of the rectangular cardboard
=2(l+b) units
=2(y+x) cm=2(x+y) cm
Area of the rectangular card board=lb sq.units
=>A=yx sq.cm=xy sq.cm
If 15cm are trimmed from width then the width would be ( x -15) cm
If 25 cm are trimmed from the length then the length would be ( y - 25) cm
1) Perimeter of a rectangle=2(l+b) units
=>P=2(y-25+x-15) cm
=>P=2(x + y- 40) cm
or It can be written as
P=2(x-15)+2(y-25) cm
2)Area of the rectangular piece of cardboard after trimming =(A)=lb sq.units
=>A=(y-15)(x-25) sq.cm
=>A= (x -25)(y - 15) sq.cm
Answer:
option D is the answer for your question