Answer:
- <u><em>The area covered by the two roads is 441m²</em></u>
Explanation:
I will rewrite the question editing the typos and completing the missing parts for better understanding:
- <em>Through a rectangular field of length 90m and breadth 60m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the field. if the width of each road is 3m, find the area covered by the roads.</em>
<em />
<em>The area covered by the roads</em> is the area of the two roads less the common (intersection) area.
<u>1. Area of the road that runs parallel to the breadth of 60m.</u>
<u />
- Area = length × width = 60m × 3m = 180m²
<u>2. Area of the road that runs paralled to the length of 90m.</u>
<u />
- Area = length × width = 90m × 3m = 270m²
<u>3. Area of the intersection of the two roads.</u>
The intersection is a square of 3m of sidelength.
- Area = (side length)² = (3m)² = 9m²
<u>4. Area covered by the two roads.</u>
- 180m² + 270m² - 9m² = 441m²
