At the vertices of a square with sides measuring y cm, 4 squares are drawn with lengths of x cm.
What is the area of the shape?
At the vertices of a square with sides measuring y cm, 4 squares are drawn with lengths of x cm.
What is the area of the shape?
If the length of the side of the square is \( x+1 \) cm
Determine which of the following expressions represents the area of the square:
The length of the side of the square is \( x+1 \) cm
\( (x>3) \)
If we extend one side by 1 cm and shorten an adjacent side by 1 cm, we obtain a rectangle
Determine the area of the rectangle?
In a square-shaped recreation space, they want to paint part of it white so that the shape of the white paint is triangular.
The length of the play area is 6 meters
one box of paint is required for each meter of paint.
How many buckets of paint do you need to paint the triangular area?
The length of the square is equal to \( x \) cm
\( (x>1) \)We extend one side by 3 cm and shorten an adjacent side by 1 cm and we obtain a rectangle,
What is the length of the side of the given square if it is known that the two areas are equal?
At the vertices of a square with sides measuring y cm, 4 squares are drawn with lengths of x cm.
What is the area of the shape?
We will refer to two separate areas: the area of the square with side y and the total area of the four squares with sides x,
We'll use the formula for the area of a square with side b:
and therefore when applying it to the problem, we get that the area of the square with side y in the drawing is:
Next, we'll calculate the area of the square with side x in the drawing:
and to get the total area of the four squares in the drawing, we'll multiply this area by 4:
Therefore, the area of the required figure in the problem, which includes the area of the square with side y and the area of the four squares with side x is:
Therefore, the correct answer is A.
If the length of the side of the square is cm
Determine which of the following expressions represents the area of the square:
First, recall the formula for calculating square area:
The area of a square (where all sides are equal and all angles are ) with a side length of (length units - u)
, is given by the formula:
(square units - sq.u),
Let's proceed to solve the problem:
First, let's mark the square's vertices with letters:
Next, considering the given data (that the square's side length is: cm), apply the above square area formula in order to express the area of the given square using its side length- (cm):
(sq.cm)
Continue to simplify the algebraic expression that we obtained for the square's area. This can be achieved by using the shortened multiplication formula for squaring a binomial:
Therefore, we'll apply this formula to our square area expression:
(sq.cm)
The correct answer is answer D.
The length of the side of the square is cm
(x>3)
If we extend one side by 1 cm and shorten an adjacent side by 1 cm, we obtain a rectangle
Determine the area of the rectangle?
First, recall the formula for calculating the area of a rectangle:
The area of a rectangle (which has two pairs of equal opposite sides and all angles are ) with sides of length units, is given by the formula:
(square units)
Proceed to solve the problem:
Calculate the area of the rectangle whose vertices we'll mark with letters (drawing)
It is given in the problem that one side of the rectangle is obtained by extending one side of the square with side length (cm) by 1 cm, and the second side of the rectangle is obtained by shortening the adjacent side of the given square by 1 cm:
Therefore, the lengths of the rectangle's sides are:
(cm)
Apply the above formula to calculate the area of the rectangle that was formed from the square in the way described in the problem:
(sq cm)
Continue to simplify the expression that we obtained for the rectangle's area, using the distributive property:
Therefore, applying the distributive property, we obtain the following area for the rectangle:
(sq cm)
The correct answer is answer B.
In a square-shaped recreation space, they want to paint part of it white so that the shape of the white paint is triangular.
The length of the play area is 6 meters
one box of paint is required for each meter of paint.
How many buckets of paint do you need to paint the triangular area?
18 paint boxes
The length of the square is equal to cm
(x>1) We extend one side by 3 cm and shorten an adjacent side by 1 cm and we obtain a rectangle,
What is the length of the side of the given square if it is known that the two areas are equal?
The square below has an area of 36.
\( x>0 \)
Calculate x.
The side length of a square is X cm
\( (x>3) \)
We extend one side by 3 cm and shorten an adjacent side by 3 cm, and we get a rectangle.
Which shape has a larger area?
The square below has an area of 36.
x>0
Calculate x.
The side length of a square is X cm
(x>3)
We extend one side by 3 cm and shorten an adjacent side by 3 cm, and we get a rectangle.
Which shape has a larger area?
The square