Answer:
Length of the rectangle is 15 feet and width of the rectangle is 9 feet.
Step-by-step explanation:
Given:
Area of the rectangle = 90 square feet
We need to find the length and width of the rectangle.
Solution:
Let the width of the rectangle be denoted by 'w'.
Now given:
length is nine feet less than four times it's width.
so we can say that;
length of the rectangle =
Now we know that;
Area of the rectangle is given by length times width.
framing in equation form we get;
Now we will factorize so as to find the roots.
Now substituting separately we will find 2 value of w.
Now we get 2 value of w one positive and one negative and we know that width of the rectangle can't be negative hence we will discard negative value and consider positive value.
width of the rectangle = 6 ft
Length of the rectangle =
Hence Length of the rectangle is 15 feet and width of the rectangle is 9 feet.