The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2. Find the area of the rectangle.
Answers
Answer:
Perimeter= 280 m
Perimeter of rectangle = 2 × (l+b)
ratio of length and width = 5:2
let the length and width of rectangle be 5x and 2x
it is given that the perimeter is 280 m
so we can find length and width from it
therefore, perimeter= 2 × ( l+b)
280 m = 2 × ( 5x + 2x )
280 / 2 = 7x
140 = 7x
140 / 7 = x
20 = x
therefore, length = 5x
5 × 20 = 100 m
width = 2 × 20 = 40
Area of rectangle = l× b
100 × 40
4000 m sq.
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Answer: perimeter (p)-280m
Ratio of length to its width:5:2
Let length be 5x, width be 2x.
Perimeter of rectangle:2(l+b)
280=2(5x+2x)
280=14x
x=280÷14
x=20.
Therefore, length=5x=5×20=100m
Breadth=2x=2×20=40m.
Area=l×b=100×40=4000 meters square .
Hope it helps :D