Howmany rectangles can be drawn given that the each rectangle is area of 36 sq. cm. Find the perimeter in each case.
Answers
Answer:4 rectangles can be drawn
1 ) l=36cm, b=1cm,p=37cm
2 ) l=18cm,b=2cm,p=20cm
3 ) l=12cm,b=3cm,p=15cm
4 ) l=9cm,b=4cm,p=13cm
Step-by-step explanation:
Hello again.
Try solving on your own first.
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Coming to the Question,
Area of rectangle = 36cm²
length × breath = 36cm²
Therefore, we have to construct a rectangle in which the product of length and breadth is 36cm²
1×36 = 36cm²
2×18 = 36cm²
3×12 = 36cm²
4 × 9 = 36cm²
6 × 6 = 36cm²
Thus, 5 rectangles can be constructed whose area is 36cm².
We know, perimeter of rectangle
= 2×(length + breadth)
If length = 1, breadth = 36
perimeter = 2×(1 + 36)
= 74cm
If length = 2, breadth = 18
perimeter = 2×(2 + 18)
= 40cm
If length = 3, breadth = 12
perimeter = 2×(3 + 12)
= 30cm
If length = 4, breadth = 9
perimeter = 2×(4 + 9)
= 26cm
If length = 6, breadth = 6
perimeter = 2×(6 + 6)
= 24cm
Hope it helps!
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