Question

A farmer plowed a rectangular section of land for a new crop. The section measures 24 1/2 yd by 38 1/2 yd. Find the total area in yards of plowed section of land.

Answer 1

Answer:
`943(1)/(4)\text{ sq. yds}`

Explanation:

Given , A farmer plowed a rectangular section of land for a new crop.

Dimensions of the section is given by :-

Length by width =
`24(1)/(2)\text{ yd by }38(1)/(2)\text{ yd}`

Since , the area of a rectangle = length x width

Then, the total area in yards of plowed section of land will be:

`24(1)/(2)*38(1)/(2)\text{ sq. yds}\\\\=(2(24)+1)/(2)*(2(38)+1)/(2)\text{ sq. yds}\\\\=(49)/(2)*(77)/(2)\text{ sq. yds}\\\\=(3773)/(4)\text{ sq. yds}\\\\=943(1)/(4)\text{ sq. yds}`

Hence, the total area in yards of plowed section of land =
`943(1)/(4)\text{ sq. yds}`