Alistair has a rectangular picture measuring 8 inches by 7 inches. He makes a frame for the picture, shown by the shaded area in
1 answer:
You might be interested in
To find the interior angle of any regular polygon you can use the formula 
where n is the number of sides
So,
The measure of an interior angle in a regular octagon is 135
So,
The measure of an interior angle in a regular octagon is 135
Length of the rectangle is 51 inches
<u>Solution:</u>
Given that
Length of the rectangle in 34 miles less than 5 times its width
Area of rectangle = 867 square inches
Need to determine length of the rectangle.
Let assume width of the rectangle be represented by variable x.
So 5 times width of the rectangle =5x
34 inches less than 5 times width of the rectangle = 5x – 34
As Length of the rectangle in 34 miles less than 5 times its width
=> Length of the rectangle = 5x – 34
<em><u>The formula for rectangle is given as:</u></em>
As given that Area of rectangle = 867 square inches
On solving quadratic equation by using quadratic formula
In our case a = 5, b = -34 and c = -867
On substituting value of a, b and c in quadratic formula we get
Since x represents width, it cannot be negative, so x = 17
Length of the rectangle = 5x – 34 = 5(17) – 34 = 51
Hence length of the rectangle is 51 inches