A man walked diagonally across a square plot. Approximately what was the percent

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Question
A man walked diagonally across a square plot. Approximately what was the percent saved by not walking along the edges?
Options
A. 10%
B. 20%
C. 30%
D. 40%

Correct Answer

30%

Explanation

let the side of the square be x meters
length of two sides = 2x meters
diagonal = $\sqrt{2 x}$ = 1.414x m

saving on 2x meters = .59x m

saving % = $\frac{0.59 x}{2 x} * 100$ %

= 30% (approx)

Area problems

Search Results

1. If a parallelogram with area p, a triangle with area R and a triangle with area T are all constructed on the same base and all have the same altitude, then
Options
A. P=R
B. P=A
C. P=A/2
D. P=2R

2. Find the perimeter and area of a square that has a side of length 14 feet.
Options
A. 176
B. 186
C. 196
D. 206

3. If the area of a square with side a s equal to the area of a triangle with base a, then the altitude of the triangle is
Options
A. a
B. 2a
C. 5a
D. 3a

4. The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas.
Options
A. 2:25
B. 3:25
C. 4:25
D. 6:25

5. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Options
A. 40
B. 120
C. 50
D. None of these

7. The area of a square is 49 mm. What is the length of each side?
Options
A. 5mm
B. 6mm
C. 7mm
D. 8mm

8. Find the area of the rectangle or square with the given dimensions L = 5 inches, W= 3 inches?
Options
A. 13
B. 14
C. 15
D. 16

9. A wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course 30m length &16m bredth is shown. Find the the area of the course
Options
A. 480
B. 560
C. 180
D. 460

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