The ratio of the length of a parallelogram to that of its breadth is 7:4. The length is longer than the breadth by 746.1 cm. Find the perimeter of the parallelogram

l/b = 7/4

l = b+746.1

so, since l = 7/4 b,

7/4 b = b+746.1
3/4 b = 746.1
b = 994.8
so, l = 1740.9

check: 1740.9/994.8 = 1.75 = 7/4

l:b = 7:4

l/b=7/4
4l=7b

but l = b+746.1
4(b+746.1) = 7b
2984.4 = 3b
b = 994.8
l = 994.8 + 746.1 = 1740.9

perimeter = 2l + 2b = .....

they are right

5471.4

To find the perimeter of a parallelogram, we need to know the lengths of all its sides. In this case, we are given the ratio of the length to the breadth, as well as the length being longer than the breadth by a certain value.

Let's assume the breadth of the parallelogram is x cm. According to the given ratio, the length would be 7/4 times the breadth, which gives us (7/4)x cm.

We are also given that the length is longer than the breadth by 746.1 cm. Therefore, we can set up the equation:

(7/4)x - x = 746.1

To solve for x, we simplify the equation:

(7/4 - 1)x = 746.1
(7/4 - 4/4)x = 746.1
(3/4)x = 746.1

Next, we isolate x by dividing both sides of the equation by 3/4:

x = (746.1)/(3/4)
x = 994.8

Therefore, the breadth of the parallelogram is 994.8 cm.

Now, we can find the length:

Length = (7/4)x
Length = (7/4)(994.8)
Length = 1742.85 cm

To find the perimeter, we add all the four sides of the parallelogram:

Perimeter = 2(length + breadth)
Perimeter = 2(1742.85 + 994.8)
Perimeter = 2(2737.65)
Perimeter = 5475.3 cm

Hence, the perimeter of the parallelogram is 5475.3 cm.