Question

The dimensions of a rectangular garden are 15 yards by 20 yards. A sidewalk, one yard wide, is to be built around the outside of the garden. What will be the area of the sidewalk?​

Answer 1

74 square yards

Explanation:

Area of two-dimensional shapes:

Area of rectangular garden:

l = 20 yds

w = 15 yds

Area of the rectangular garden = l *w

= 20 * 15

= 300 square yards.

Area of the outer rectangle (rectangular garden and the sidewalk):

length = 20 + 1 + 1 = 22 yds

width = 15 + 1 + 1 = 17 yds

Area of outer rectangle = 22 * 17

= 374 square yards

To find the area of the sidewalk, subtract the area of rectangular garden from the outer rectangle.

Area of the sidewalk = area of outer rectangle - area of sidewalk

= 374 - 300

= 74 square yards