A rectangular field is 0.4m longer than it is wide if it's length is 6m ,find it's Perimeter when the breadth of the rectangle is reduced by 0.5m,the length is increased by 1/4 of its original. What is the change in the length of the rectangle.

Answer 1

Where is my answers

Answer 2

Should l add 0.4+0.4=0.8 and minus 0.5 to find the width then add the length to get the perimeter then use the perimeter+breadh to find the length then minus to find the change in length.

Answer 3

width = 6 - 0.4 = 5.6
so the new perimeter is
2(5.6-5 + 5/4 * 6) = 16.2 m

Answer 4

to get formula and answer

Answer 5

YES

Answer 6

What an answer

Answer 7

16.2metres

Answer 8

To find the formula for the perimeter of the rectangular field, we use the formula P = 2(l + b), where P is the perimeter, l is the length, and b is the width.

Given that the length is 0.4m longer than the width, and the length is 6m, we can find the width as:

b = l - 0.4
= 6 - 0.4
= 5.6m

So the original perimeter is:

P = 2(l + b)
= 2(6 + 5.6)
= 23.2m

To find the new perimeter when the width is reduced by 0.5m and the length is increased by 1/4 of the original length, we can use the same formula and substitute the new values:

New width: b - 0.5 = 5.6 - 0.5 = 5.1m
New length: l + (1/4)l = 6 + (1/4)6 = 7.5m

New perimeter:

P = 2(l + b)
= 2(7.5 + 5.1)
= 24.6m

So the change in the perimeter is:

24.6 - 23.2 = 1.4m

Therefore, the formula for the new perimeter is P = 2(7.5 + 5.1) = 24.6m, and the change in the length of the rectangle is 1.5m.