The widths of two similar rectangles have a ratio of 2:6 . The area of the smaller rectangle is 12 ft2. What is the area of the
larger rectangle? Enter your answer in the box.
1 answer:
Answer:
The area of the larger rectangle is 
Step-by-step explanation:
we know that
If two figures are similar then the ratio of its areas is equal to the scale factor squared
and the ratio of its corresponding sides is equal to the scale factor
Let
z-----> the scale factor
x-----> the area of small rectangle
y-----> the area of larger rectangle
so

we have


substitute and solve for y


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Old scale : 1 in. to 3 ft.
length is 9 in.....9 * 3 = 27 ft (old scale length)
width is 6 in......6 * 3 = 18 ft (old scale width)
new scale : 1 in. to 4 ft
length is 9 in.....9 * 4 = 36 ft (new scale length)
width is 6 in......6 * 4 = 24 ft (new scale width)
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