1.A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49. Find the numbers.

2.A positive real number is 6 less than another. If the sum of the squares of the two numbers is 38, then find the numbers.

3.The area of a rectangle is 60 square inches. If the length is 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.

4.If the sides of a square measure 10units, then find the length of the diagonal.

5.The area of a rectangle is 27 square meters. If the length is 6 meters less than 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.