Answer:
The length of the rectangle is given as:
(9x + 6)
Step-by-step explanation:
The area of a rectangle is given as:
Length × Width
Area of the rectangle = 45x² − 42x − 48
Width = 5x - 8
We solve for the length of the rectangle by factorising the area of the rectangle
45x² − 42x − 48
45x² - 72x + 30x - 48
(45x² - 72x )+ (30x - 48)
9x(5x - 8) + 6(5x - 8)
(5x - 8)(9x + 6)
Therefore:
The length of the rectangle is given as:
(9x + 6)
The first two are correct
Answer:
i think it is 54
Step-by-step explanation:
Thee diagonal of the rectangle is 13.86 cm long.
<h3>What is the length of the diagonal of rectangle?</h3>
We are given that;
Width of a rectangle is 9 less than twice its length. Thus, if length is L, then;
W = 2L - 9
Area formula for a rectangle is;
A = Length * Width
We are given area of rectangle = 96 cm²
Thus;
L(2L - 9) = 96
2L² - 9L = 96
2L² - 9L - 96 = 0
Using online quadratic equation calculator gives;
L = 9.53 cm
Thus;
W = 2(9.53) - 9
W = 19.06 - 9
W = 10.06 cm
The diagonal of the triangle will be gotten from Pythagoras theorem;
D = √(9.53² + 10.06²)
D = √192.0245
D = 13.86 cm
Thus, we conclude that the diagonal of the rectangle is 13.86 cm long.
Read more about Rectangle Diagonal at; brainly.com/question/7071655
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Answer:
132
Step by step
11×12 is 132 and 132 is a 3 digit number and made up of three different numerals and is divisible by 11.
