The diagram shows a right-angled triangle and a rectangle.The area of the triangle is twice the area of the rectangle.Given that ◂⋅▸=◂⋅▸, find the area of the rectangle.Input note: give your answer correct to 2 decimal places.(5 marks)

Triangle ABC𝐴𝐵𝐶 has a right angle at A𝐴, and side AC𝐴𝐶 is twice as long as AB𝐴𝐵. Also MN𝑀𝑁 is the perpendicular bisector of BC𝐵𝐶, as shown.In area, what fraction of △ABC△𝐴𝐵𝐶 is △CMN△𝐶𝑀𝑁?

Find the area of the figure below by first finding the areas of the rectangle and triangles.1unitArea of the rectangle: 15square unitsArea of the triangle on the left: 5square unitsArea of the triangle on the right: 10square unitsArea of the figure: 30square unitsCorrect Answer:

Suppose that △𝑃𝑄𝑅 has an area of A square inches and that the vertices of △𝑆𝑇𝑈 are the midpoints of the sides of △𝑃𝑄𝑅. In terms of A, what is the area of △𝑆𝑇𝑈 in square inches?

The diagram shows a shape made from triangle 𝐴𝐵𝐶 and a semicircle with diameter 𝐵𝐶.Triangle 𝐴𝐵𝐶 is right-angled at 𝐵.𝐴𝐵=7.6 cm and 𝐴𝐶=9.5 cm.Calculate the area of the shape.Give your answer correct to 3 significant figures.

Find the area of the figure below by first finding the areas of the rectangle and triangle.1unitArea of the rectangle: square unitsArea of the triangle: square unitsArea of the figure: square units