the perimeter of a rectangle is 60 cm if its area 200 cm2 find its length and breadrh in cm About the author Ivy
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. Reply
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 Reply
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.
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