You bought a magazine for $2 and some erasers for $5 each. You spent a total of $12. How many erasers did you buy?
2 answers:
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The dimension of new garden is 7 meter by 8 meter
<em><u>Solution:</u></em>
The dimensions of a rectangular garden were 4m by 5m
Length = 4 m
Width = 5 m
Each dimension was increased by the same amount the garden then had an area of 56 square meter
Let "x" be the amount of increase
Then,
Length = 4 + x
Width = 5 + x
Also, given that,
New area = 56 square meter
<em><u>The area of rectangle is given as:</u></em>
<em><u>Substituting the values we get,</u></em>
<em><u>Let us solve the above equation by quadratic formula</u></em>
<em><u>Using the above formula,</u></em>
a = 1 and b = 9 and c = -36
<em><u>Substituting the values of a = 1 ; b = 9 ; c = -36 in above quadratic formula we get,</u></em>
<em><u>We get two solutions,</u></em>
Since dimension cannot be negative, ignore x = -12
Thus solution is x = 3
Length = 4 + x = 4 + 3 = 7
Width = 5 + x = 5 + 3 = 8
Thus dimension of new garden is 7 meter by 8 meter