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: $943\dfrac{1}{4}\text{ sq. yds}$

Step-by-step explanation:

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

Dimensions of the section is given by :-

Length by width = $24\dfrac{1}{2}\text{ yd by }38\dfrac{1}{2}\text{ yd}$

Since , the area of a rectangle = length x width

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

$24\dfrac{1}{2}\times38\dfrac{1}{2}\text{ sq. yds}\\\\=\dfrac{2(24)+1}{2}\times\dfrac{2(38)+1}{2}\text{ sq. yds}\\\\=\dfrac{49}{2}\times\dfrac{77}{2}\text{ sq. yds}\\\\=\dfrac{3773}{4}\text{ sq. yds}\\\\=943\dfrac{1}{4}\text{ sq. yds}$

Hence, the total area in yards of plowed section of land =  $943\dfrac{1}{4}\text{ sq. yds}$