The figure shows a rectangular field WXYZ. Zeph walked from W to X to Y to Z and he covered a distance of 72 m. Min walked from X to Y to Z to W and she covered a distance of 45 m.
- What is the perimeter of the field?
- Some construction work was undertaken to the same field and a semi-circular part was removed from it. What Is the perimeter of the field after the construction? (Take π = 227)
(a)
Lets assume Length → L and Breadth → B
Zeph total covered distance
L + L + B = 72
2 L + B = 72 = A1
Min total covered distance
B + L + B = 45
2 B + L = 45 = A2
A1 + A2
3 B + 3 L = 117
B + L = 117 ÷ 3 = 39 m
Perimeter of the field
= 2 (B + L)
= 2 x 39
= 78 m
(b)
Circumference of the semicircle
=
227 x 7 x
12 = 11 m
Perimeter of the remaining field
= 78 + 11 - 7
= 82 m
Answer(s): (a) 78 m; (b) 82 m