Skip-count to find the unknown area. Write a multiplication sentence for each tiled rectangle. You can use any color below to complete each tile.

Step-by-step explanation:

Given

See attachment for rectangle

Solving (a):

From the first rectangle, there are 6 columns and 3 rows.

This implies that:

So, the area is:

Solving (a):

From the first rectangle, there are 3 rows and the total area is 24.

This implies that:

Area is:

Make Width the subject

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0