Nia and Joslynn were texting about how bored they were in their houses. They decided to compare quarantine snacks. Nia said her
1 answer:
You might be interested in
Answer:
The length of the rectangle is 11 inch and its width is 8 inch.
Step-by-step explanation:
Given:
Rectangle and rectangle
.
Let the width of the rectangle be 'x' inch.
Its length = '(x+3)' inch
Area of the rectangle =
⇒ =
Now for rectangle its width is decreased by 1 inch and length is doubled,the area
will increased by 66 sq-inch.
So,
According to the question.
⇒ Area of rectangle with width '(x-1)' and length '2(x+3)'='(2x+6)' .
⇒
Plugging the values of in terms of
.
⇒
Plugging =
into the equation.
⇒
⇒
⇒
⇒
Now using quadratic formula we can find the value of 'x'.
Quadratic formula, (x)=
x= -9 and x= 8
Discarding the negative value.
Our width = 'x' = 8 inches.
So the length of the rectangle = 11 inches and width of the rectangle = 8 inches.