Arectangle has vertices at (-1,6), (-1,-2), (3,6), and (3,-2). sara says the area of the rectangle is 16 square units and her
work is shown below
steps
step 1
step 2
step 3
sara's work
base: 113-4
height: 161+f2-4
area: 4x4-16 square units
where, if at all, did sara first make a mistake in finding the area of the rectangle?
step 1
step 2
step 3
no mistake

Step 2

Step-by-step explanation:

Let

Plot the vertices to better understand the problem

see the attached figure

The area of the rectangle is equal to

we have

step 1

Find the base b (BD)

step 1 is correct

step 2

Find the height h (BA)

step 2 is not correct

step 3

Find the area

Therefore

Sara first make a mistake in finding the area of the rectangle in Step 2

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.