Question

#A4. The area of a square garden ABCD is 3,025 sq m. A path of uniform width runs all around it. If the area of the path is 1,000 sq m, find the following. D C (a) The area of the unshaded portion (b) The perimeter of the unshaded portion A B. (c) The width of the path​

Answer 1

Step-by-step explanation:

Let length of the garden be=l

Therefore,Area of garden = l^2

So l^2= 3025

Therefore: l=55m

Now, Area of path(shaded portion)=1000  (given)

(A)

So, Area of path= Area of garden- area of unshaded portion

Therefore, 1000=3025- area of unshaded portion

Therefore, area of unshaded portion= 2025 sq m

(B) Let length of unshaded area be: x

Therefore: Area=2025=x^2

So, x=45 m

Perimeter of unshaded area= 4x=4*45

                                                = 180m

(C) Width of the path= (l-x)/2

                                    = 55-45/2= 5m