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The perimeter of a rectangle is 60 cms. If its length is twice its breadth, then its area is:
- a)200 cm2
- b)180 cm2
- c)160 cm2
- d)220 cm2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The perimeter of a rectangle is 60 cms. If its length is twice its bre...
Let the breadth of the rectangle be x centimetres
Then, length of the rectangle = 2x centimetres
⇒ 2(2x + x) = 60
⇒ 6x = 60
⇒ x = 10
So, length = 20 cm, breadth = 10 cm
∴ Area = (20 × 10) cm2 = 200 cm2
Then, length of the rectangle = 2x centimetres
⇒ 2(2x + x) = 60
⇒ 6x = 60
⇒ x = 10
So, length = 20 cm, breadth = 10 cm
∴ Area = (20 × 10) cm2 = 200 cm2
Most Upvoted Answer
The perimeter of a rectangle is 60 cms. If its length is twice its bre...
Yes this answer is correct
solution. perimeter of rectangle =2(L+b)
given that l=2b since let be length of rectangle be 2x and therefore breadth = x
perimeter of rectangle =2(L+b)
=2(x+2x)=60
=x=10
length =20cm
breadth =10cm
area of rectangle =l. b
= 20.10=200cmsquare
solution. perimeter of rectangle =2(L+b)
given that l=2b since let be length of rectangle be 2x and therefore breadth = x
perimeter of rectangle =2(L+b)
=2(x+2x)=60
=x=10
length =20cm
breadth =10cm
area of rectangle =l. b
= 20.10=200cmsquare
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The perimeter of a rectangle is 60 cms. If its length is twice its bre...
Perimeter of a Rectangle:
The perimeter of a rectangle is the total distance around its outer edges. It can be calculated by adding the lengths of all four sides of the rectangle.
Let's assume the breadth of the rectangle is 'b' cms.
According to the given condition, the length of the rectangle is twice its breadth. So, the length would be '2b' cms.
Perimeter Equation:
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + breadth)
In this case, the perimeter is given as 60 cms. So, we can write the equation as:
60 = 2(2b + b)
Simplifying the Equation:
Let's simplify the equation to find the value of 'b' (breadth).
60 = 2(3b)
60 = 6b
b = 60/6
b = 10
Now that we have the breadth, we can find the length of the rectangle:
Length = 2b = 2 * 10 = 20
Area of a Rectangle:
The area of a rectangle is the measure of the region enclosed by its sides. It can be calculated by multiplying the length and breadth of the rectangle.
Area Equation:
The area of a rectangle is given by the formula:
Area = length * breadth
In this case, the length is 20 cms and the breadth is 10 cms. So, we can calculate the area as follows:
Area = 20 * 10 = 200 cm^2
Therefore, the area of the rectangle is 200 cm^2, which corresponds to option 'A' in the given choices.
To summarize:
- Perimeter of the rectangle = 60 cms
- Length of the rectangle = 2 * breadth
- Perimeter equation: 60 = 2(2b + b)
- Simplifying the equation: b = 10
- Length of the rectangle = 2b = 20 cms
- Area of the rectangle = length * breadth = 20 * 10 = 200 cm^2
The perimeter of a rectangle is the total distance around its outer edges. It can be calculated by adding the lengths of all four sides of the rectangle.
Let's assume the breadth of the rectangle is 'b' cms.
According to the given condition, the length of the rectangle is twice its breadth. So, the length would be '2b' cms.
Perimeter Equation:
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + breadth)
In this case, the perimeter is given as 60 cms. So, we can write the equation as:
60 = 2(2b + b)
Simplifying the Equation:
Let's simplify the equation to find the value of 'b' (breadth).
60 = 2(3b)
60 = 6b
b = 60/6
b = 10
Now that we have the breadth, we can find the length of the rectangle:
Length = 2b = 2 * 10 = 20
Area of a Rectangle:
The area of a rectangle is the measure of the region enclosed by its sides. It can be calculated by multiplying the length and breadth of the rectangle.
Area Equation:
The area of a rectangle is given by the formula:
Area = length * breadth
In this case, the length is 20 cms and the breadth is 10 cms. So, we can calculate the area as follows:
Area = 20 * 10 = 200 cm^2
Therefore, the area of the rectangle is 200 cm^2, which corresponds to option 'A' in the given choices.
To summarize:
- Perimeter of the rectangle = 60 cms
- Length of the rectangle = 2 * breadth
- Perimeter equation: 60 = 2(2b + b)
- Simplifying the equation: b = 10
- Length of the rectangle = 2b = 20 cms
- Area of the rectangle = length * breadth = 20 * 10 = 200 cm^2
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The perimeter of a rectangle is 60 cms. If its length is twice its breadth, then its area is:a)200 cm2b)180 cm2c)160 cm2d)220 cm2Correct answer is option 'A'. Can you explain this answer?
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