Question

A square has a side length of 6. A rectangle has a length of 5x + 12 in a width of 5x. Find the sum of the areas of square and rectangle. Expand this polynomial and then factor the trinomial form.

A. (5x+12)(5x)
B.(25x+90)(x - 6/5)
C.(5x+12)(5x)+36
D.(5x+6)(5x+6)​

Answer 1

D) (5x + 6)(5x + 6)

Explanation:

area of square = 6 x 6 = 36

area of rectangle = 5x(5x + 12) = 25x² + 60x

total together = 25x² + 60x + 36

factored:

(5x + 6)(5x + 6)