A sweater. Cost. $12 more than a shirt. Together they cost. $46. What was the price of the shirt?
I Got. : shirt was $17. Is that right?
The perimeter. Of a rectangle. Is 84cm
The length is twice the width. Find the length and width.
I got. Length 24cm width 14 cm
Us that right?
Your first answer is right.
The width is right for the second problem. What is the length?
sorry I GOT THE LENGHT 28 CM
AND WIDTH 14 CM
Right.
To find the price of the shirt in the first question, we can set up an equation. Let's assume the price of the shirt is x dollars. Since the sweater costs $12 more than the shirt, the price of the sweater would be x + $12.
According to the given information, the total cost of both items is $46. Therefore, we can set up the equation:
x + (x + $12) = $46
Simplifying the equation, we get:
2x + $12 = $46
Subtracting $12 from both sides:
2x = $34
Dividing both sides by 2:
x = $17
So, the price of the shirt is $17. Your answer is correct!
Moving on to the second question, we are given the perimeter of a rectangle, which is 84 cm. The length of the rectangle is twice the width. Let's assume the width is x cm. Therefore, the length of the rectangle would be 2x cm.
The formula for the perimeter of a rectangle is:
P = 2(length + width)
Plugging in the given information, we get:
84 = 2(2x + x)
Simplifying the equation, we have:
84 = 2(3x)
Dividing both sides by 2, we get:
42 = 3x
Dividing both sides by 3, we have:
14 = x
So, the width of the rectangle is 14 cm. Since the length is twice the width, the length would be 2 times 14, which is 28 cm.
Thus, the length of the rectangle is 28 cm and the width is 14 cm. Your answer is correct!