SOLUTION: Find area and perimeter of a square plot of land, length of whose diagonal is 15 metres.

Algebra ->  Rectangles -> SOLUTION: Find area and perimeter of a square plot of land, length of whose diagonal is 15 metres.      Log On


   

Question 824393: Find area and perimeter of a square plot of land, length of whose diagonal is 15 metres.
Found 2 solutions by TimothyLamb, LinnW:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
---
d = sqrt( ss + ss )
dd = ss + ss
dd = 2ss
ss = dd/2
s = sqrt( dd/2 )
s = sqrt( (15^2)/2 )
s = 10.606601717798213
---
answer:
p = 2s + 2s
p = 42.426 m
a = ss
a = 112.5 sq.m
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
If we can find the side length of the square we can
find the area and perimeter.
Let s = the side length of the square.
s%5E2+%2B+s%5E2+=+15%5E2
2s%5E2+=+15%5E2
2s%5E2+=+225
s%5E2+=+225%2F2
s+=+sqrt%28225%2F2%29
The area = sqrt%28225%2F2%29+%2A+sqrt%28225%2F2%29 = 225/2 = 112.5 sqft
The perimeter = 4%2Asqrt%28225%2F2%29ft