Answer:
The width of the smaller rectangle is 5 centimeters
Step-by-step explanation:
step 1
<em>Find the scale factor</em>
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the smaller rectangle
y ----> the area of the larger rectangle
we have
substitute
square root both sides
step 2
Find the width of the larger rectangle
we know that the area is equal to
we have
substitute
step 3
Find the width of the smaller rectangle
To find out the width of the smaller rectangle, multiply the width of the larger rectangle by the scale factor
so
It should be 146 square cm.
First, you would start off by finding the areas of the trapezoid.
Formula- h (base+base 2) 1/2= Area
Formula- (4+14) 10 1/2
Formula- 18 x 10 1/2
Formula- 180 1/2
Area- 90 squared cm
Next, we have to find the area of the triangle. This one is a little more tricky because the height is not given. I believe it goes like this-
Formula- bh 1/2
Formula- 14 x 8 1/2 (The reason I chose 8 is because 10 is the height for the first one so 18-10=8)
Formula- 14x4
Area- 56 square cm
Can you re- write the equation again plz
First do 6 divided by 10
then add 8.75 to that