Mathematics
Grade10
Easy

Question

In question 8, what is the area of each of the paint compartments in the tray?

  1. 9 square in
  2. 16 square in
  3. 25 square in
  4. (4x – 6)(x - 1) square in

hintHint:

Quadratic polynomial is a polynomial in which the highest degree monomial is of the second degree.

The correct answer is: 9 square in


    Let’s use the length of the tray to find the dimensions of each of the paint compartments.
    Since they are square in shape, so let a be their length and width.
    2x + a + x + a + x + a + x + a + 2x = 7x + 12
    7x + 4a = 7x + 12
    4a = 12
    a = 3 in.
    So, the area of each of the paint compartments is 3×3 i.e. 9 square in.
    Hence, the correct option is A.

    Area of a rectangle = length × breadth sq. units.

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