This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
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Question 1: A rectangle has a length of and a width of .
Step 1: Write the formula for the area of a rectangle. The area of a rectangle () is given by the formula:
Step 2: Substitute the values of length and width into the formula.
Step 3: Calculate the area. The area of the rectangle is .
Question 2: A triangle has a base of and a height of .
Step 1: Write the formula for the area of a triangle. The area of a triangle () is given by the formula:
Step 2: Substitute the values of the base and height into the formula.
Step 3: Calculate the area. The area of the triangle is .
Question 6: A rhombus has diagonals of and .
Step 1: Write the formula for the area of a rhombus. The area of a rhombus () is given by the formula: where and are the lengths of the diagonals.
Step 2: Substitute the values of the diagonals into the formula.
Step 3: Calculate the area. The area of the rhombus is .
Question 8: A sector of a circle has a radius of and an angle of .
Step 1: Write the formula for the area of a sector. The area of a sector () is given by the formula: where is the central angle and is the radius. We will use .
Step 2: Substitute the values of , , and into the formula.
Step 3: Simplify the fraction and calculate the square of the radius.
Step 4: Perform the multiplication. The area of the sector is .
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Question 1: A rectangle has a length of 12\, cm and a width of 6\, cm. Step 1: Write the formula for the area of a rectangle.
This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.