Question

PLEASE HELP ME

Step 2: Finding distance on the coordinate grid
C
A
B
00
1 square unit = 25 square feet
a) This is a blueprint drawing of the stage area at Millennium Park. The length of one
square on the grid is equal to 5 feet. According to the blueprint, the length of the
diagonal of square C is 70.7 feet. Is that correct? Show your work.


B If the blueprint is drawn on the coordinate plane with vertices (3, 5) and (12, 14) for the corners labeled with red stars, would that be an accurate representation of the length of the diagonal of the square C? Show your work and explain your reasoning.

Answer 1

• Answer:

The Given Length of the Diagonal of SQUARE C is INCORRECT

The CORRECT LENGTH of the DIAGONAL is APPROXIMATELY:

14.14 Feet.

• Step-by-step explanation: √ ≈

MAKE A PLAN:

We need to find the length of the diagonal of SQUARE C, and then Compare it to the Given length of 70.7 Feet:

• SOLVE THE PROBLEM:

Calculate the length of one side of SQUARE C:

Since, One Square on the grid is Equal to 5 Feet, and Square C has a Side Length of 2 squares, The Side Length of Square C is 2 * 5 = 10 Feet.

• Calculate the length of the diagonal of Square C using the Pythagorean Theorem:

Let d be the length of the diagonal, then d^2 = 10^2 + 10^2 = 200

Now, d = √200 = 10√2 ≈ 14.14 feet

• Compare the calculated length to the given length:

The calculated length of the diagonal is 14.14 feet, Which is NOT EQUAL to the given length of 70.7 feet.

• Draw The Conclusion:

Therefore, The Given Length of the Diagonal of SQUARE C is INCORRECT

The CORRECT LENGTH of the DIAGONAL is APPROXIMATELY:

14.14 Feet.

I hope this helps you!