Question

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

Answer 1

Answer:

30+16+(the square root of)(1156). That means the total perimeter of the triangle is 46+34, or 80. The perimeter of the rectangle is (30+16)*2, or 92. 92-80=12, so you'd have to walk 12 yards less

Answer 2

Our walk will be 12 yards shorter if we walk diagonally across the lawn rather than along two sides of it.

Given:

length of the yard = 30 yards

width of the yard = 16 yards

To Find:

the difference between the distance traveled when walking diagonally across the lawn versus the distance walked while walking along the 2 sides

Solution:

using the Pythagoras theorem in the rectangle, we have-

diagonal² = length² + width²

diagonal = √(30² + 16²)

= √(900 + 256)

= √1156

= 34

now, distance traveled while walking along the 2 sides = 30 + 16

= 46 yards

difference between the two distances = 46 - 34 = 12 yards

Thus, our walk will be 12 yards shorter if we walk diagonally across the lawn rather than along two sides of it.

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