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A rectangle with area of 16mx12m will be put onto a blueprint of scale 1:80, what is the area of the rectangle on the blueprint?

A. 300cm²
B. 350cm²
C. 450cm²
D. 400cm²
E. 500cm²

User QwiglyDee
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1 Answer

6 votes

Explanation:

First, we need to find the actual dimensions of the rectangle in centimeters by converting meters to centimeters and multiplying:

Length = 12m = 1200cm

Width = 16m = 1600cm

Next, we need to find the dimensions of the rectangle on the blueprint. Since the scale is 1:80, we can divide the actual dimensions by 80 to get the blueprint dimensions:

Length on blueprint = 1200cm ÷ 80 = 15cm

Width on blueprint = 1600cm ÷ 80 = 20cm

Finally, we can calculate the area of the rectangle on the blueprint by multiplying the length and width:

Area on blueprint = 15cm x 20cm = 300cm²

Therefore, the answer is A. 300cm².

User Inopinatus
by
8.6k points