Square ABCE, shown below, has a side length of 10 inches. Point D is the midpoint of 𝐶𝐸‾,CE , and F is the midpoint of 𝐴𝐸‾.AE . What is the ratio of the area of △𝐷𝐸𝐹,△DEF, shown shaded, to the area of pentagon ABCDF?

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?

In the figure below not drawn to scale, ACED is a rectangle. AB = 20 cm. BC = 18 cm. AD = 25 cm. CE = 25 cm.Find the area of the shaded triangle △BDE.

In a rectangle ABCD, E is the midpoint of AD and F is the midpoint of CE. If the area of triangle BDF is 24 sq. cm, what is the area (in sq. cm) of rectangle ABCD?

Select the correct answerIn the given figure ABC is a triangle in which CDEFG is a pentagon. Triangles ADE and BFG are equilateral triangles each with side 2 cm and EF=2 cm. Find the area of the Pentagon.radio_button_unchecked8√3 cmradio_button_unchecked7√3 cmradio_button_unchecked15√3 cmradio_button_unchecked11.28 cm

In a land of triangular shape ∆ABC , a line DE intersects the sides AB and AC in such a way that AB : BD = AC : CE. If the area of the land shaped as ∆DBC is 10 sq. meters, what is the area of ∆BEC?