Question

3. Offshore, the Institute has selected a rectangular area to count sea

anemones. If the length of one side is 1 kilometer and the diagonal is 2
kilometers, what is the length of the other side of the rectangle (rounded to
the nearest tenth of a kilometer)? Place your approximation of this length in
the orange chart below.
Formula Used:
Answer:

Answer 1

1.7 Kilometers

Explanation:

To find the length of the other side of the rectangular area, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the lengths of the other two sides.

In this case, one side of the rectangle is given as 1 kilometer, and the diagonal is given as 2 kilometers.

Let's assume the other side of the rectangle is x kilometers.

Using the Pythagorean theorem, we can set up the equation:

ײ + 1² = 2²

Simplifying the equation:

ײ + 1 = 4

ײ + 4 - 1

ײ = 3

Taking the square root of both sides:

× ≈ √3

Rounding to the nearest tenth of a kilometer, the length of the other side of the rectangle is approximately 1.7 kilometers.