The perimeter of a rectangle is 200 m. If one of its sides is longer than the other side by 16 m, find the length of each of the sides
width --- x
length --- x+16
2x + 2(x+16) = 200
solve
Let's assume the length of the longer side of the rectangle is x meters.
Therefore, the length of the shorter side of the rectangle will be (x - 16) meters.
The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
As per the given information, the perimeter is 200 meters. So, we can write the equation as:
200 = 2(x + (x - 16))
Now, let's solve the equation to find the value of x:
200 = 2(2x - 16)
200 = 4x - 32
4x = 232
x = 58
So, the length of the longer side is 58 meters.
And, the length of the shorter side is x - 16 = 58 - 16 = 42 meters.
Therefore, the length of each of the sides of the rectangle is 58 meters and 42 meters.
To find the length of each side of the rectangle, we can set up a system of equations based on the given information.
Let's assume the shorter side of the rectangle is "x" meters in length. Since one of the sides is longer than the other side by 16 m, the length of the longer side would be "x + 16" meters.
The perimeter of a rectangle is the sum of all its sides. In this case, the perimeter is given as 200 m. Therefore, we can form the equation:
Perimeter = 2 * length + 2 * width
Substituting the values we have:
200 = 2 * x + 2 * (x + 16)
Now, let's simplify the equation and solve for "x":
200 = 2x + 2x + 32
200 = 4x + 32
4x = 200 - 32
4x = 168
Dividing both sides by 4:
x = 168 / 4
x = 42
So, the length of the shorter side is 42 meters.
To find the length of the longer side, we can substitute this value back into the equation:
Length of longer side = x + 16 = 42 + 16 = 58
Therefore, the length of each of the sides is 42 meters and 58 meters.
Perimeter (p) = 200cm
2(L+B)=200
Length (L)= (16+x)cm
Solution
substitute 2(16+x)=200
32+2x=200
2x=200-32
2x=168
divide both sides by 2
2x=168
2x/2=168/2
x= 81
Remember, Length(L)= 16+x
16+81
Length=97cm
2(L+B)=200
2(97+B)=200
divide both sides by 2
2(97+B)/2=200/2
(97+B)= 100
97+B=100
B=100-97
B=3cm.