A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area o
2 answers:
Answer: 5 ft
Step-by-step explanation:
Our equation can be (x + 8)(x + 2) = 91. Now we solve:
(x + 8)(x + 2) = 91
x^2 + 2x + 8x + 16 = 91 expand
x^2 + 10x + 16 = 91 simplify
x^2 + 10x - 75 = 0 subtract 91 from both sides
(x + 15)(x - 5) = 0 factor
x + 15 = 0 x - 5 = 0
x -15 x = 5
x can't equal -15 because you cannot have negative feet, so x = 5 feet
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The length and width of the similar rectangular screen are 110 meters and 35 meters respectively.
<u>SOLUTION: </u>
Given, A huge suspended LED screen is the centerpiece of The Place, a popular mall in Beijing, China.
We have to find the length and width of a similar rectangular screen
We are also given that the length is 5 meters more than 3 times its width,
Let width of rectangle be "b" meters, the its length will be 5 + 3b meters
And, the viewable area is 3,850 square meters.
Now,let us use quadratic formula:
Neglect negative values as width can’t be negative
so, width = 35 meters, then length = 5 + 3(35) = 5 + 105 = 110 meters
hence, the length and width of the similar rectangular screen are 110 meters and 35 meters respectively.