SOLUTION: Two rectangles are similar. The smaller has a length of 8cm and an area of 40cm^2. If the width of the larger rectangle is 10cm, find its area.

Question 893712: Two rectangles are similar. The smaller has a length of 8cm and an area of 40cm^2. If the width of the larger rectangle is 10cm, find its area.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The larger similar rectangle has linear dimensions k times the smaller rectangle.

Small rectangle, 8 cm by w cm.
Area,

Larger rectangle, 8k cm by kw cm.
Area, ;
but also is given that .

Find two equations with two unknowns!
and .
First one gives .
Using this in the second equation gives and therefore .

Find the requested area for the larger rectangle.

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