Question

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

Answer 1

360 cm²

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:

`(10)/(15) = (16)/(x)`

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