Answer:
Area of Mrs. Rockwell's lot is equal to the area of Mr. Brown's lot
Step-by-step explanation:
We can suppose the dimensions of Mrs. Rockwell's lot to be:
Length = x
Width = y
Then, we can write the dimensions of Mr. Brown's lot as:
Length = half as long as Mrs. Rockwell's lot
Length = 0.5x
Width = twice as wide as Mrs. Rockwell's lot
Width = 2y
Area of Mrs. Rockwell's lot = Length * Width
= x*y
Area of Mrs. Rockwell's lot = xy
Area of Mr. Brown's lot = 0.5x*2y
Area of Mr. Brown's lot = xy
<u>Area of Mrs. Rockwell's lot </u><u>is equal</u><u> to the area of Mr. Brown's lot, as calculated above</u>.
Answer:

Step-by-step explanation:
Given
In ABC;


Required
Determine side F
In the given question;
DEF is a dilation of ABC
Comparing both triangles side by side,
Side F is a direct dilation of side C and this is calculated as follows



We can separate the shape into a rectangle and a square
the area of the rectangle :

the area of the square:

the area of the whole shape:

hope this helps
The scale factor of dilation from AB to EF is 0.25
<h3>How to determine the scale factor of dilation?</h3>
The given parameters are:
- EFJL is dilation of ABIK
- AB has a length of 12
- EF has a length of 3
From the above parameters, side lengths AB and EF are corresponding sides
This means that:
The scale factor of dilation (k) is
k = AB/EF
So, we have
k = 3/12
Evaluate
k = 0.25
Hence, the scale factor of dilation from AB to EF is 0.25
Read more about scale factors at:
brainly.com/question/15891755
#SPJ1
Answer:
D. 56.3 cubic units
Step-by-step explanation:
To find the volume of a rectangular prism you use the formula <u>v=l*w*h</u> which means you multiply <u>5*3*3.75</u> to find your answer of 56.3 cubic units.