the perimeter of a rectangle is 60 cm if its area 200 cm2 find its length and breadrh in cm
Answers
Answer:
Save India!
Step-by-step explanation:
4) Find the amount if ₹ 2,000 is invested for 2
years at 4% p.a. compounded annually.
5) Find the area of the rectangle whose length
and breadths are 3x 2 y m and 5xy 2 m
respectively.
6) Find the
Answer:
20 cm and 10 cm
Step-by-step explanation:
Let the length be a.
Breadth = b
Perimeter of the rectangle = 60 cm
We know that,
Perimeter of rectangle = 2( l+b)
=> 60 = 2(a+b)
=> a+b = 60÷2
b = 30 - a
Area of the rectangle = 200 cm²
A/Q,
Area of rectangle = l×b
=> 200 = a × (30 - a)
=> 200 = - a² + 30 a
=> a² - 30a +200 =0
=> a² - 20a - 10a + 200 =0
=> a(a-20) - 10(a-20) =0
=> (a-20)(a-10) =0
a = 20 cm
b = 30-a = 30 - 20 = 10 cm
Therefore, length = a = 20 cm
Breadth = b = 10 cm ANS.