Question

To fence a rectangle farm of 750msquare 110metre of fence has been used calculate the dimension of farm

Answer 1

Correct Question:

To fence a rectangle farm of 750msquare 110metre of fence has been used calculate the dimension of farm

Answer:

Area of rectangle = L × W = 750m².

Step1 :

Perimeter = 2 (L + W )

= 110 = 2 (L + W)

55 = L + W

W = 55 - L ....(2)

L (55 - L) = 750.

Step 2 :

55L - L^2 = 750

L^2 - 55L + 750 =0

(L -30)(L-25)=0

L = 30 or L = 25

If L = 3 0 W = 55-30 = 25

If L=25 then W = 55-25 = 30

Hence, dimensions of Rectangle are 30m and 25m .

☆Additional Information ☆

Dimensions - A measurement of length in one direction. Examples: width, depth and height are dimensions. 

Answer 2

Answer:

Here is your answer :)

Step-by-step explanation:

Area of rectangle = A × B = 750m².

Step1 :

Perimeter = 2 (A + B )

=> 110 = 2 (A + B)

55 = A + B

B = 55 - A •••••(2)

A (55 - A) = 750.

Now,

55A - A² = 750

A2 - 55A + 750 =0

(A - 30)(A - 25)=0

A = 30 or A = 25

If A = 30 B => 55 - 30 = 25

If A = 25 then B => 55 - 25 = 30

So, dimensions of Rectangle are 30m and 25m.

Hope it helps you