SOLUTION: The diagonal of a square is 42.5 cm. Calculate the perimetre and area of the square.

Question 204918: The diagonal of a square is 42.5 cm. Calculate the perimetre and area of the square.
Found 2 solutions by nerdybill, alicealc:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The diagonal of a square is 42.5 cm. Calculate the perimetre and area of the square.
.
Let x = length of one side of the square
then from Pythagorean theorem we have:
x^2 + x^2 = 42.5^2
2x^2 = 1806.25
x^2 = 903.125
x = 30.052
.
Perimeter = 4x = 120.208 cm
Area = x^2 = 903.125 sq cm

Answer by alicealc(293) (Show Source): You can put this solution on YOUR website!
diagonal of a square with the side x is

perimeter = 4x
=
=
=
=

area =
=
=
= 903.125 cm^2

RELATED QUESTIONS
The diagonal of a square is 42.5 cm . Calculate the perimeter and the area of the square (answered by macston)
Calculate the exact volume of a square prism if the diagonal of the square face is 5 cm... (answered by CubeyThePenguin)
the sides of a rhombus are 5 cm each and one diagonal is 8 cm. calculate the length of... (answered by KMST)
A rectangular carpet has an area of 81 sq. metre and a perimetre of 30 metre. The length... (answered by josgarithmetic)
Length of a rectangle is 5 cm less then twice its breadth, if the length is decreased by... (answered by ankor@dixie-net.com)
what is the area of a square with a diagonal length of 100... (answered by edjones)
The area of a square is 144 cm^2. Find the length of the diagonal of the... (answered by josgarithmetic,TeachMath,greenestamps)
the diagonal of a square is 16 cm. find the... (answered by rfer)
The area of a square is 72 cm. The area of the circle drawn on its diagonal is? (answered by Edwin McCravy)