To work out the area in m² of material required for a pair of curtains, a seamstress squares the height of the window in m and adds 0.5. a) What area of material is required for a window of height 1.2meters?

b) What area of material is required for a window of height p meters?

c) if the area of material required is 2.75m²,what is the height of the window?

a. Area = 1.94m²

b. Area = (p² + 0.5)m²

c. Height = 1.5m

Step-by-step explanation:

Given

Let H represents Height and A represents Area

From the first and second statements, we have that:

a. Calculating Area When Height = 1.2

Substitute 1.2 for H

Hence, the area is 1.94m²

b. Calculating Area When Height = p

Substitute p for H

Hence, the area is (p² + 0.5)m²

c. Calculating Height When Area = 2.75m²

Substitute 2.75 for A

Subtract 0.5 from both sides

Take Square Root of both sides

Hence, the height is 1.5m

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.