Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room? Recall that the area of a square is calculated by l2, where l is the length of one side.

feet
feet
feet
feet

length of each side of the room is 2√30 which is approximately 10.9545 feet

Step-by-step explanation:

The area of the square can be computed as follows:

Area = l²

where l is the length of the side

We are given that:

area = 120 ft²

Substitute with the area in the above equation and solve for l as follows:

area = l²

120 = l²

l = √120

l = 2√30 ft

This is approximately equal to 10.9545 ft

Hope this helps :)

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204