
Периметр 26см ширина на 6 см меньше длины Найди площадь


Ответы на вопрос

P=a+b+a+b=(a+b)×2
Составим и решим ур-ие:
х+х-6+х+х-6=26
4х-12=26
4х=12+26
4х=38
х=9.5(это длина)
9.5-6=3.5( это ширина)
S=a×b
S=9.5×3.5=33.25^2
Ответ:33.25^2
^2(это обозначает "в квадрате")



Calculation of Perimeter and Area
To find the area of a shape, we first need to calculate its perimeter. Let's start by finding the perimeter of the shape with a width that is 6 cm less than its length, and a total perimeter of 26 cm.
Let's assume the length of the shape is represented by L and the width is represented by W.
According to the given information, the width is 6 cm less than the length, so we can write the equation:
W = L - 6 The perimeter of a shape is calculated by adding the lengths of all its sides. In this case, the shape has two sides with length L and two sides with length W.
The perimeter formula is:
P = 2(L + W) Substituting the value of W from equation into the perimeter formula, we get:
P = 2(L + (L - 6))
Simplifying the equation:
P = 2(2L - 6) = 4L - 12
We know that the perimeter is given as 26 cm, so we can set up the equation:
4L - 12 = 26
Solving this equation will give us the value of L.
After finding the value of L, we can substitute it back into equation to find the value of W.
Once we have the values of L and W, we can calculate the area of the shape.
The area of a rectangle is calculated by multiplying its length and width:
A = L * W Let's solve the equation to find the values of L and W and then calculate the area.
Solution
Let's solve the equation 4L - 12 = 26 to find the value of L.
4L - 12 = 26 4L = 26 + 12 4L = 38 L = 38 / 4 L = 9.5 cm
Now, substitute the value of L into equation to find the value of W.
W = L - 6 W = 9.5 - 6 W = 3.5 cm
Now that we have the values of L and W, we can calculate the area using equation.
A = L * W A = 9.5 cm * 3.5 cm A = 33.25 cm^2
Therefore, the area of the shape is 33.25 square centimeters.
Please let me know if I can help you with anything else.


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