Question

The given figure shows two paths drawn inside a rectangular field which is $80$ m long and $45$ m wide. The widths of the two paths are $8$ m and $15$ m as shown. Find the area of the shaded portion.

• A. $1195$ $m^2$
• B. $1200$ $m^2$
• C. $1320$ $m^2$
• D. $1400$ $m^2$

Answer 1

The correct option is A $1195$ $m^2$

The length of rectangle is $80$ m

The width of horizontal path of shaded region is $8$ m

The area of horizontal path of shaded region is $80\times 8=640$

The breadth of rectangle is $45$ m

The width of vertical path of shaded region is $15$ m

The area of vertical path of shaded region is $45\times 15=675$

The shaded region which is common to both horizontal path and vertical path of shaded region is repeated twice.

The area of common path of shaded region is $15\times 8=120$.

Therefore, the area of shaded region is $640+675-120=1195m^2$.