Question

The diagram, given below, shows two paths drawn inside a rectangular field 80 m long and 45 m wide. The widths of the two oaths are 8 m and 15 m as shown. Find the area of the shaded portion.

• A. $1195m^2$
• B. $8895m^2$
• C. $1155m^2$
• D. $1895m^2$

Answer 1

The correct option is A $1195m^2$

Given, rectangular field is 80 m long and 45 m wide.

Two paths are drawn inside the rectangular field. The widths of the two oaths are 8 m and 15 m.

The two paths intersect. The length and breath of the intersection is $8$ m and $15$ m.

Area of the shaded region $=(8\times 80)+(15\times 45)-(15\times 8)$
$=640+675-120$ sq. m
$=1195$ sq. m