Geometry Help Please?

Mathematics

1 answer:

Jlenok [28]2 years ago

7 0

Divide the two known corresponding sides: JK/AB = 18/12 = 3/2 = 1.5
So the sides of triangle JKL are 1.5 (one and a half) times bigger than the corresponding sides for triangle ABC

1.5 is the linear scale factor

This extends to the perimeter as well:
perimeter of JKL = 1.5*(perimeter of ABC)
perimeter of JKL = 1.5*28
perimeter of JKL = 42 feet

It turns out that since the linear scale factor is 1.5, this means the area scale factor is (1.5)^2 = 2.25
The new area is found by multiplying the old area by 2.25

area of JKL = 2.25*(area of ABC)
area of JKL = 2.25*18
area of JKL = 40.5

----------------------------------------------------------------------------------------

In summary:
Perimeter of JKL = 42 feet
Area of JKL = 40.5 square feet

You might be interested in

A square has an area of 64 square meters.

34kurt

Answer:

Side is 8 meters, Perimeter is 32 meters

Step-by-step explanation:

One side

Squares have 4 equal sides. Area is found using l*w, but the sides are all equal in squares. Therefore, the area can be found using:

a=s^2

We know the area is 64, so we can substitute that in

64=s^2

Take the square root of both sides