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Each side of a square has a length of 45. What is the perimeter of this square?

In the figure shown, AB=\( \sqrt{34} \) units, AC= 3 units, and CE= 2l units. What is the area, in square units, of triangle ADE?

For an electric field passing through a flat surface perpendicular to it, the electric flux of the electric field through the surface is the product of the electric field's strength and the area of the surface. A certain flat surface consists of two adjacent squares, where the side length, in meters, of the larger square is 3 times the side length, in meters, of the smaller square. An electric field with strength 29.00 volts per meter passes uniformly through this surface, which is perpendicular to the electric field. If the total electric flux of the electric field through this surface is 4,640 volts · meters, what is the electric flux, in volts · meters, of the electric field through the larger square?

The perimeter of an isosceles triangle is 36 feet. Each of the two congruent sides of the triangle has a length of 10 feet. What is the length, in feet, of the third side?

Rectangle P has an area of 72 square inches. If a rectangle with an area of 20 square inches is removed from rectangle P, what is the area, in square inches, of the resulting figure?

The area of a rectangular banner is 2,661 square inches. The banner's length x, in inches, is 24 inches longer than its width, in inches. Which equation represents this situation?

The perimeter of an equilateral triangle is 624 centimeters. The height of this triangle is \( k\sqrt{3} \) centimeters, where k is a constant. What is the value of k?

The lengths of two sides of a triangle are 4 centimeters and 6 centimeters. If the perimeter of the triangle is 18 centimeters, what is the length, in centimeters, of the third side of this triangle?

In triangle \( XYZ \) , angle \( Y \) is a right angle, the measure of angle \( Z \) is 33°, and the length of \( YZ \) is 26 units. If the area, in square units, of triangle \( XYZ \) can be represented by the expression k tan33°, where k is a constant, what is the value of k?

The area \( A \), in square centimeters, of a rectangular cutting board can be represented by the expression \( w\left(w+9\right) \), where w is the width, in centimeters, of the cutting board. Which expression represents the length, in centimeters, of the cutting board?

The area of triangle ABC above is at least 48 but no more than 60. If y is an integer, what is one possible value of x ?

A landscaper is designing a rectangular garden. The length of the garden is to be 5 feet longer than the width. If the area of the garden will be 104 square feet, what will be the length, in feet, of the garden?