the length of a rectangle is 10 cm more than twice its breadth if the perimeter of the recangle is 50 cm find its dimensions and also it's are area
Answers
Answered by
1
Step-by-step explanation:
let's the length l = x
and the breath b = y
according to question,
x = 10 + 2y
x-2y = 10________(1)
and,
2(x+y) = 50
x+y = 25__________(2)
from equation 1 & 2,
x = 20cm
y = 5cm
so,
area = l×b
= 20×5
= 100cm² answer
Answered by
35
Given :
- Length of rectangle is 10 cm more than twice its breadth.
- Perimeter of rectangle = 50 cm
To Find :
- Length of rectangle = ?
- Breath of rectangle = ?
- Area of rectangle = ?
Solution :
As, we are given that length of rectangle is 10 cm more than twice its breadth.
Let breadth = x
Now, we have perimeter is 50 cm and we know that :
By filling values :
Hence,
- Breadth of rectangle = 5 cm
- Length of rectangle = 10 cm + 2 × 5 cm = 10 cm + 10 cm = 20 cm
Now, for area of rectangle, we have a formula :
By putting values :
Hence, Area of rectangle = 100 cm².
So, dimensions of rectangle are 20 cm × 5 cm and Area of rectangle is 100 cm².
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