Question

A rectangle is to be made from a 24cm long piece of wire. One side of the rectangle is twice as long as the other. Write an equation and solve it.

268

likes
1338 views

Answer to a math question A rectangle is to be made from a 24cm long piece of wire. One side of the rectangle is twice as long as the other. Write an equation and solve it.

Expert avatar
Velda
4.5
110 Answers
Let the shorter side of the rectangle be x cm. Then, the longer side will be 2x cm.

Perimeter of the rectangle is given by the sum of all four sides:
2x + 2(2x) = 24
Simplify the equation:
2x + 4x = 24
6x = 24
Divide by 6 on both sides:
x = 4

So, the shorter side of the rectangle is 4 cm and the longer side is 2 \times 4 = 8 cm.

\textbf{Answer:} The shorter side of the rectangle is 4 cm.

Frequently asked questions (FAQs)
What is the derivative of the composition f(g(x)) using the Chain Rule?
+
What is the value of side c in a triangle if angle A is 35°, angle B is 55°, and side a is 7 cm?
+
What is the surface area of a rectangular prism measuring 5 units in length, 4 units in width, and 3 units in height?
+
New questions in Mathematics
A=m/2-t isolate t
Find the measures of the sides of ∆KPL and classify each triangle by its sides k (-2,-6), p (-4,0), l (3,-1)
4X^2 25
4x-3y=5;x+2y=4
If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.
The equation of the straight line that passes through the coordinate point (2,5) and is parallel to the straight line with equation x 2y 9 = 0 is
find x in the equation 2x-4=6
Find all real numbers x that satisfy the equation \sqrt{x^2-2}=\sqrt{3-x}
determine the polynomial F of degree 2 that interpolates. f at points (0;1) (2;5) (4;6). calculate F(0.8). Note: Using the polynomial expression with difference operator.
show step by step simplification: (¬𝑑∨((¬b∧c)∨(b∧¬c)))∧((𝑎 ∧ 𝑏) ∨ (¬𝑎 ∧ ¬𝑏))∧(¬𝑐∨((¬𝑑∧𝑎)∨(𝑑∧¬𝑎)))
Solve the following equation for x in exact form and then find the value to the nearest hundredths (make sure to show your work): 5e3x – 3 = 25
The function h(t)=-5t^2+20t+60 models the height in meters of a ball t seconds after it’s thrown . Which describe the intercepts and vertex of this function
Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3
If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is
A popular cell phone family plan provides 1500 minutes. It charges 89.99/month for the first 2 lines and 9.99 for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.
Find the zero of the linear function 8x + 24 = 0
The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.
A rectangular swimming pool has a length of 14 feet, a width of 26 feet and a depth of 5 feet. Round answers to the nearest hundredth as needed. (a) How many cubic feet of water can the pool hold? cubic feet (b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this? cubic feet
97,210 ➗ 82 division
Find the number of liters of water needed to reduce 9 liters of lotion. shave containing 50% alcohol to a lotion containing 30% alcohol.