Question

A rectangular lawn measuring 70m by 50m is having two cross roads of width 5m, running through its middle, one parallel to its length and other parallel to its width. Find the area of the roads

Answer 1

Hi! Hope this helps!

Answer: 575 sq. m

Step-by-step explanation:

Lets picture the crossroads are two rectangles.

As we know, the width of both the rectangles is 5m. The length is determined by whether the crossroad is parallel to the width of the lawn of the length. So the length of one rectangle is 70m and the other, 50m.

So first, lets find The Area of rectangle 1

Width(Breadth)=5m

Length=Let's say  50m

Area=l * b

=50 * 5

=250 sq. m

Now, lets find The Area of rectangle 2

Width=5m

Length=70m

Area=70 * 5

=350 sq. m

Now we must keep in mind that this is a crossroad. So there is a point of intersection. And it is a square, with side 5m.

So we know its area is side * side => 5 * 5 = 25 sq. m

Now we first add both the rectangles = 250 + 350 = 600 sq. m

Then, we subtract the part of intersection from this to get our final answer!

= 600 - 25

= 575 sq. m

                                                                P.S. Pls mark me as Brainliest! Thnx!