Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
The length of a diagonal of a rectangular park is 25 meters, and that of one of its sides is 15 meters. Find the perimeter of the park.
70 meters
60 meters
40 meters
50 meters
70 meters
Recognize the standard Pythagorean triplet (3, 4, 5). Multiply by 5: (15, 20, 25). Thus, the sides are 15m and 20m. Perimeter = 2 * (15 + 20) = 70m.
Diagonal (d) = 25 meters, one side (l) = 15 meters.
d2=l2+w2 and P=2(l+w)
Recognize the standard Pythagorean triplet (3, 4, 5). Multiply by 5: (15, 20, 25). Thus, the sides are 15m and 20m. Perimeter = 2 * (15 + 20) = 70m.
Students often mistakenly add the diagonal to the perimeter or use the diagonal as the length of one side instead of calculating the other side using Pythagoras theorem.
Identify missing side using Pythagoras theorem
In a rectangular park, the diagonal, length, and width form a right-angled triangle. Given diagonal d=25 and length l=15, we find width w.
w=252тИТ152тАЛ=625тИТ225тАЛ=400тАЛ=20
Calculate the perimeter
Now that we have both sides (l=15 and w=20), we use the perimeter formula for a rectangle.
P=2(15+20)=2(35)=70
A is correct because the calculated perimeter of the rectangular park is 70 meters.
Memorizing common Pythagorean triplets like (3,4,5), (5,12,13), and (8,15,17) can save significant time in geometry and coordinate geometry problems.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants