Question

a gopher has dug holes in opposite corners of a rectangular yard. one length of the yard is 7 meters and the distance between the gophers holes is 10 meters. how wide is the yard? if necessary, round to the nearest tenth.
______ meters

Explanation:

Step1: Apply Pythagorean theorem

Let width = $w$. The formula is $w^2 + 7^2 = 10^2$

Step2: Calculate squared terms

$w^2 + 49 = 100$

Step3: Isolate $w^2$

$w^2 = 100 - 49 = 51$

Step4: Solve for $w$

$w = \sqrt{51} \approx 7.1$

Answer:

7.1 meters