Due in 5 . what’s the area of the larger rectangle

360 cm²

Step-by-step explanation:

For the smaller rectangle, we know its height and we not the area.  Let's first find out the length of the base.  Since we know the area is the product of both sides:

A = b * h

We can deduce that b = A/h = 160 / 10 = 16 cm

Now, let's find the base of the larger rectangle.

We know the rectangle are similar... so their sides must be relative, so we can get:

if we isolate x, we get

x = (15 * 16) / 10 = 240 / 10 = 24

Now that we have the base of the second rectangle (24), we can calculate its area:

A = b * h = 24 * 15 = 360 cm²

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)