The length of a rectangle is 5cm longer than the its breadth. Find the length and breadth if the perimeter is 26 cm
L = Length
B = Breadth
The length of a rectangle is 5 cm longer than the its breadth mean:
L = B + 5
P = 2 L + 2 B
P = 2 ( L + B )
Replace L with B + 5 inn this equation
P = 2 ( B + 5 + B )
P = 2 ∙ ( 2 B + 5 )
26 = 4 B + 10
Subtract 10 to both sides
16 = 4 B
Divide both sides by 4
4 = B
B = 4 cm
L = 4 + 5
L = 9 cm
P = 2 ( L + B )
P = 2 ∙ ( 4 + 9 )
P = 2 ∙ 13
P = 26 cm
Thanks, i actually mistook the perimeter formula to be P= L+B
Thanks
thanks
Thanks slot,I was really have a tough time with it
A woman covers (4x+1)km distance in 5 hours by cycle. If her speed is (x-2)km per hour.Find distance travelled.
To find the length and breadth of the rectangle, we need to set up an equation using the given information.
Let's assume the breadth of the rectangle is 'x' cm. According to the problem, the length is 5 cm longer than the breadth, so it can be expressed as (x + 5) cm.
The perimeter of a rectangle is given by the formula: P = 2(l + b), where P is the perimeter, l is the length, and b is the breadth.
So, in this case, we have:
P = 26 cm,
l = (x + 5) cm, and
b = x cm.
Substituting these values into the formula, we get:
26 = 2[(x + 5) + x]
Now, we can simplify the equation and solve for 'x'.
26 = 2(2x + 5)
26 = 4x + 10
16 = 4x
x = 4
Now that we have the value of 'x' as 4, we can substitute it back into the expressions to find the length and breadth.
Length = x + 5 = 4 + 5 = 9 cm
Breadth = x = 4 cm
Therefore, the length of the rectangle is 9 cm, and the breadth is 4 cm.