SOLUTION: If a square has a perimeter of 24 inches, how many inches long is its diagonal?
Algebra.Com
Question 332131: If a square has a perimeter of 24 inches, how many inches long is its diagonal?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
If a square has a 24-inch perimeter, then the length of one side must be inches.
Two adjacent sides and the diagonal form a right triangle, so you can find the length of the diagonal using the Pythagorean theorem.
Let the diagonal = c, then:
where a and b are two of the sides each 6 inches long.
Take the square root of both sides.
inches, to the nearest hundredth.
RELATED QUESTIONS
if the perimeter of a square is 24 in, how long is its... (answered by Maths68)
A rectangle has as many square inches of area as it has inches of perimeter. The... (answered by MathLover1,josgarithmetic,ikleyn)
If a square has a diagonal of 40 inches how long is each side of the... (answered by stanbon)
A cube has a surface area of 194.94 square inches. How many inches long is one of its... (answered by Cintchr)
If the diagonal of a square is 15 inches, how long is each... (answered by Gogonati)
a diagonal of a square is 6 inches long. find its permiter and its... (answered by Earlsdon)
If a rectangle has a diagonal of 22 inches and a width of 18 inches, how long is the... (answered by london maths tutor)
Find the perimeter of a square to the nearest tenth if the lenght of its diagonal is 12... (answered by jorel1380)
Find the perimeter of a square if the length of its diagonal is 12 inches. Round to... (answered by checkley79)