Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

14 the lawn in front of kermit middle school is in the shape of a recta…

Question

14 the lawn in front of kermit middle school is in the shape of a rectangle 30 yd long and 16 yd wide how much shorter is your walk if you walk diagonally across the lawn rather than along two sides of it?

Explanation:

Step1: Calculate path along sides

$30 + 16 = 46$ yd

Step2: Find diagonal via Pythagoras

$$\sqrt{30^2 + 16^2} = \sqrt{900 + 256} = \sqrt{1156} = 34$$ yd

Step3: Compute length difference

$46 - 34 = 12$ yd

Answer:

12 yards