The length of a rectangle is 7 centimeters greater than the width. If 4 centimeters are added to both the length and the width,
the new area would be 98 square centimeters. Find the dimensions of the ORIGINAL rectangle, list the SMALLER dimension first.
1 answer:
Answer:
3 cm by 10 cm
Step-by-step explanation:
Assuming the new dimensions are integers, we can look at the factors of 98 to see what they might be.
98 = 1·98 = 2·49 = 7·14
The latter two factors differ by 7, so are the dimensions after 4 is added. The original dimensions are ...
7 - 4 = 3 . . . . cm
14 -4 = 10 . . . . cm
The dimensions of the original rectangle are 3 cm by 10 cm.
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