Question

solve one

two sides of a rectangle differ by 3.5 cm. find the dimensions of the rectangle if it's parimeter is 67 cm. solve by crammers rule.

OR

Express log (x + 1)^3 - 2log (x + 1) +3log (x^3 - 1) as single logarithms ​

Answer 1

Answer:

Suppose the shorter side is x cm.Then the longer side is x + 3.5 cm.

Therefore the perimeter is 2*(x + x + 3.5) = 4x + 7 cm.

Now 4x + 7 = 67 so that 4x = 60 and x = 15

and then x + 3.5 = 18.5

Therefore the sides of the rectangles are 15 cm and 18.5 cm.