a perimeter of the rectangula land is 500m if the length and the breath of that rectangular land is 2:3 ratio,find the area of rectangel
P = 2 ( L + B ) = 500
2 ( L + B ) = 500
Divide both sides by 2
L + B = 250
L / B = 2 / 3
Cross multiply:
3 L = 2 B
L = ( 2 / 3 ) B = 2 B / 3
L + B = 250
Replace L with 2 B / 3 in this equation
2 B / 3 + B = 250
2 B / 3 + 3 B / 3 = 250
5 B / 3 = 250
Multiply both sides by 3
5 B = 750
Divide both sides by 5
B = 150 m
L = 2 B / 3 = 2 ∙ 150 / 3 = 300 / 3 = 100 m
A = L ∙ B = 100 ∙ 150 = 15 000 m²
L = 2x, W = 3x, P = 500 m., A = ?.
P = 2*2x+2*3x = 500
4x+6x = 500
X = 50.
L = 2x = 2*50 = 100 m.
W = 3x = 3*50 = 150 m.
A = L*W = 100*150 = 15,000 m^2.
To find the area of a rectangle, we need to know the length and breadth (width) of the rectangle.
Given that the length and breadth of the rectangular land are in a 2:3 ratio, let's assume that the length is 2x and the breadth is 3x, where x is a common factor.
Now, we also know that the perimeter of the rectangle is 500m. The formula to calculate the perimeter of a rectangle is 2(length + breadth).
So, we can express the perimeter as:
2(2x + 3x) = 500
Simplifying the equation:
2(5x) = 500
10x = 500
x = 50
Now, we can find the length and breadth of the rectangle:
Length = 2x = 2 * 50 = 100m
Breadth = 3x = 3 * 50 = 150m
Finally, we can calculate the area of the rectangular land using the formula:
Area = length * breadth = 100m * 150m = 15000 square meters.
Therefore, the area of the rectangular land is 15000 square meters.