One number is 4 more than another. The difference between their squares is 56. What are the numbers?
2 answers:
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Answer:
6 ft longer (total length of 15ft)
Step-by-step explanation:
the initial dimensions are:
length:
width:
the area area of the garden is given by:
so the original area is:
Since we need the area to be , and we can only change the length, the width will still be 8ft.
We substitute the value of the new area and the width to the equation for the area:
and we clear for the new length:
The length of the garden for the area to be , must be 15ft.
This means that if originally the length was 9 ft, now it has to be 6 ft longer.