Lets draw the square first.
As you can see in the diagram, the distance between one corner and the opposite side is the diagonal of the rectangle which divides it into tow right triangles. Since we know that in a square all the lengths have the same measure, the legs of our triangle are going to measure 250 ft.
Now, the only thing left to do is apply the Pythagorean theorem to find the hypotenuse of our triangle which is no other than the diagonal of our square:
We can conclude that the distance <span>from one corner of the courtyard to the opposite corner is 353.6 ft.</span>
Answer:
3/4 inch by 1/2 inch (length - width)
Step-by-step explanation:
If 1/2 inch equals 8 feet on the scale drawing, this means that 1/4 inch on the scale drawing equals 4 feet, by dividing 2 on both sides.
The storage shed is 12 feet long, and 4 feet on the scale drawing equal 1/4 inch. By multiplying the scale of 1/4 inch = 4 feet by 3 on both sides, we get 3/4 inch = 12 feet. This means that the length of the storage shed can be represented by 3/4 inch.
Since 1/2 inch equals 8 feet and the width of the storage shed is 8 feet, the width can be represented by 1/2 inch on the scale drawing.