Mathematics
Grade10
Easy

Question

The sides of a rectangle are 12k and 5k; find the value of k if the area of the rectangle is 12960000.

  1. 9
  2. 5
  3. 3
  4. 6

hintHint:

a to the power of m cross times b to the power of m space equals space left parenthesis a cross times b right parenthesis space to the power of blank to the power of m (laws of exponent)

The correct answer is: 3


    Side of rectangle are 12 to the power of k space end exponent space a n d space 5 to the power of k

    area of rectangle =length cross times breadth 

    12960000 =12 to the power of k cross times 5 to the power of k
    12960000 = 60 to the power of k              (a to the power of m cross times b to the power of m space equals space left parenthesis a cross times b right parenthesis space to the power of blank to the power of m)
    1296000= 60 to the power of 4
    k=4

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