The perimeter of a rectangle is 52cm. If two adjacent sides are (2x+3) cm and (x+5) cm, find the area of the rectangle.
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Answers
Answered by
1
Answer:
120 sq.m
Step-by-step explanation:
Let the breadth of the field =x m. The, length =(3x+2) m
Given, Perimeter =52 m
⇒2(x+3x+2)=52⇒4x+2=26
4x=24
⇒x=6
∴ Length =(3×6+2) m=20m, Breath =6 m
∴ Area =l×b=20m×6m=120m^2
Answered by
9
Answer:
165cm²
Step-by-step explanation:
perimeter of rectangle =2(l+b)
52=2×(2x+3+x+5)
52=2×(3x+8)
52/2=3x+8
26=3x+8
3x=26-8
3x=18
x=18/3
x=6
hence,
the length of rectangle = 2x+3=2×6+3=15cm
the breadth of rectangle= x+5=6+5=11cm
the area of rectangle=l×b=15+11=165cm²
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