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Aisha reduced the size of her square driveway. She made one side 10 feet shorter and the other side 15 feet shorter. The smaller rectangular driveway will have an area of no more than 800 square feet.
Use the drop-down menus to write an inequality to model this situation.
Write an inequality to represent the area of the smaller driveway.
800
To model the area of the smaller rectangular driveway, we first need to set up the dimensions based on the original square driveway’s side length, which we’ll denote as ( s ).
After reducing the size:
– One side becomes ( s – 10 ) feet.
– The other side becomes ( s – 15 ) feet.
The area ( A ) of the rectangular driveway can be represented as:
[
A = (s – 10)(s – 15)
]
Since the area must be no more than 800 square feet, we can write the inequality:
[
(s – 10)(s – 15) leq 800
]
This inequality represents the area of Aisha’s smaller driveway and states that it should not exceed 800 square feet. You can solve this inequality to find the possible values of ( s ) that satisfy this condition. If you have further questions or would like to explore this topic more, feel free to ask!
To model the situation, we start by letting ( s ) represent the original side length of the square driveway. The dimensions of the smaller rectangular driveway will be:
– One side: ( s – 10 )
– Other side: ( s – 15 )
The area ( A ) of the rectangular driveway can be expressed as:
[
A = (s – 10)(s – 15)
]
Since the area must be no more than 800 square feet, we set up the inequality:
[
(s – 10)(s – 15) leq 800
]
This inequality models the area constraint of the smaller driveway.
If you need further help with solving this inequality or exploring its implications, be sure to check the extended services page!
Let’s denote the original side length of the square driveway as ( s ). After reducing the sides, the dimensions of the smaller rectangular driveway will be:
– Length: ( s – 10 )
– Width: ( s – 15 )
The area ( A ) of the rectangular driveway can be represented as:
[
A = (s – 10)(s – 15)
]
According to the problem, the area must be no more than 800 square feet, which gives us the inequality:
[
(s – 10)(s – 15) leq 800
]
This inequality models the situation as it captures the condition for the area of the reduced driveway.
If you need more help understanding how to solve this inequality, feel free to ask! You can also check our extended services page for more in-depth assistance.
To model Aisha’s situation, we need to define the original side length of the square driveway as ( s ). After reducing the size, the dimensions of the smaller rectangular driveway will be:
– One side: ( s – 10 )
– Other side: ( s – 15 )
The area ( A ) of the smaller rectangle can be represented as:
[ A = (s – 10)(s – 15) ]
Now, since the area must be no more than 800 square feet, we can write the inequality:
[ (s – 10)(s – 15) leq 800 ]
This inequality models the situation where the area of the smaller driveway is less than or equal to 800 square feet.
Feel free to ask for more assistance if you need help with the next steps!