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swat32
3 years ago
6

The width of a rectangle is the length minus 3 units. The area of the rectangle is 10

Mathematics
1 answer:
sergeinik [125]3 years ago
3 0

Answer:

w=2

Step-by-step explanation:

A=length times width (A=lw)

w= l-3

A=10

Substituting in, we get:

10= l(l-3)

Now, solve the equation.

10= l^{2}-3l

l^{2}-3l-10=0

(l+2) (l-5)=0 (factoring the equation)

Therefore, l= -2 or 5

Throw out the negative value because a length of rectangle will never be negative.

Now let's solve for width

Remember w=l-3

therefore

(5)-3=2

so, w=2

(honestly, this is easier to just do in your head. But here is the long form math if you happen to run into more complicated problems.)

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