Question

Find the perimeter and area of a garden with measures as shown in the figure alongside.

Answer 1

Perimeter of garden ABCDEFGHIJKL = sum of all the sides of polygon = AB + BC + CD + DE + EF + FG + GH + HI + IJ + JK + KL
= 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13
= 143 m

The given figure of the garden can be broken into five squares as follows.


Now, length of each side of each of the five squares is equal to 13 m.

Area of each square = side $\times$ side
$=13\times 13$
$=169m^2$
$\therefore$ Area of the five squares = 5 $\times$ area of each square
$=5\times 169$
$=845m^2$

Hence, the area of the given garden is 845 m${}^2.$