Question

Gideon has a rectangular garden with an area of 19.6 square feet. If the length of the garden is 4.3 feet, what is the length of the diagonal of the garden? Round to the nearest tenth.

Group of answer choices

4.6 feet

4.5 feet

2.3 feet

6.3 feet

Answer 1

25.9 feet

Explanation:

If you split a rectangle into 2 pieces with a diagonal, each piece will be a right triangle

Therefore we can use the pythagorean theorem to solve this problem

The two legs of the right triangle will be 23 and 12

The formula is a^2 +b^2=c^2

c^2 is the diagonal squared ( the hypotenuse)

So:

12^2+23^2=c^2

144+529=c^2

673=c^2

To find just c we need to find the square root of 673, rounded to the nearest tenth

(the equation is rounded)

So the diagonal is 25.9