The side of a rectangler fest are in the ratio 5: 2and its area is equal 500 sq m. Find the perimeter.
Answers
Correct Question:
The side of a rectangle plot in the ratio is 5 : 4 and its area is equal to 500 sq m. Find the perimeter .
Answer:
Perimeter of the plot is 90 m
Step-by-step explanation:
Given :
- The sides of the rectangle are in the ratio 5 : 4
- The area of the rectangle is 500 m²
To find :
the perimeter of the rectangle
Solution :
To find the perimeter, we must know the length of the sides of the rectangle.
The sides of the rectangular plot are in the ratio 5 : 4
Let
length of the rectangular plot = 5x
the breadth of the rectangular plot = 4x
The area of the rectangular plot = 500 m²
length × breadth = 500 m²
(5x) × (4x) = 500 m²
20x² = 500 m²
x² = 500/20
x² = 25
x = √25
x ≈ 5 m
The length of the rectangular plot = 5(5) = 25 m
The breadth of the rectangular plot = 4(5) = 20 m
Perimeter of the rectangular plot = 2(length + breadth)
Perimeter of the rectangular plot = 2(25 m + 20 m)
Perimeter of the rectangular plot = 2(45 m)
Perimeter of the rectangular plot = 90 m
Answer:
HI
Step-by-step explanation:
please mark Brainliest answer and thanks