The area of the square is 100 square units. Find thelength of its sides. The pro

Question

The area of the square is 100 square units. Find thelength of its sides. The product of two consecutive room numbers is 306. Findthe room number. The number of the first room is___. Find the length of the shorter leg of a right triangle if thelonger leg is 15 feet more than the shorter leg and the hypotenuseis 15 feet less than the length of the shorter leg. Thelength of the shorter leg is________feet The perimeter of the quadrilateral is 47 centimeters. Find the length of each side. The area of the square is 100 square units. Find thelength of its sides. The product of two consecutive room numbers is 306. Findthe room number. The number of the first room is___. Find the length of the shorter leg of a right triangle if thelonger leg is 15 feet more than the shorter leg and the hypotenuseis 15 feet less than the length of the shorter leg. Thelength of the shorter leg is________feet The perimeter of the quadrilateral is 47 centimeters. Find the length of each side.

Explanation / Answer

a square has equal sides. the area of a rectangle or squareis Base * Height. So B*H=100 Since the sides are equal it becomes B*B=100 B^2=100 (Bsquared). So what times itself equals 100, 10. The best way to do the consecutive number problem with 306 is findthe divisors. Since it is even 2 is obviously adivisor. 3 is also one. If you are good with algebra you can set it up X*(X+1)=306 X^2+X=306 X^2 + X -306 = 0 (use the quadratic formula from here) For the triangle one use pathagorean theroum A^2 * B^2 = C^2 A is your longer leg B is your shorter leg and C is your hypotenuse (15+B)^2 * B^2 = (B-15)^2 I think you copied the problem in wrong because the hypotenuse isalways the longest side and there is not enough information to getan exact answer Perimeter is the length of all the sides. On aquadrilateral it is (B+H)*2 There is not enough information to tell you exactly what the sideslengths are but B+H = 23.5cm

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