The combined area of the blue and red rugs is 2(9x + 4) square units when factored, representing the total square units of the new rug formed by placing them together.
To find the combined area of the two rugs when placed together, we need to add the areas of the blue and red rugs. The area of the blue rug is given as 8(x + 1/2) square units, and the area of the red rug is 10(x + 2/5) square units.
To combine these areas, we sum the expressions:
Total Area = 8(x + 1/2) + 10(x + 2/5)
Now, let's factor the expression:
Total Area = 8x + 4 + 10x + 4
Combine like terms:
Total Area = 18x + 8
The factored form of the combined area is 2(9x + 4) square units.
In summary, the combined area of the two rugs, in factored form, is 2(9x + 4) square units.
The question probable may be:
The table shows the area of two rugs a preschool teacher has in her room. She places the two rugs together to make one big rug. What is the area in sq Jare units of the new rug, in factored form? square units
Rug area (sq units)
blue 8(x + 1/2)
red 10( x + 2/5)