Relation between area and sides of similar triangles

Q. If the triangles ABC and DEF are similar, what is the area (in $c{m}^2$) of the triangle DEF?

Q.

In the figure, PB and QA are perpendicular to segment AB. If OA = 5 cm, PO = 7cm and area ($\Delta$QOA) = 150 $c{m}^2$, find the area of $\Delta$POB.

1. $233c{m}^2$

2. $420c{m}^2$

3. $300c{m}^2$

4. $294c{m}^2$

Q. Given ΔABC is similar to ΔPQRΔABCisΔPQR. Where AB=1cm and PQ =3 cm .Find the ratio of their areas.

1. $\frac{1}{9}$
2. $\frac{1}{8}$
3. $\frac{8}{9}$
4. $\frac{9}{1}$

Q. The ratio of areas of two similar triangles are in the ratio of squares of their corresponding altitudes.

1. True
2. False

Q. The ratio of areas of two similar triangles are in the ratio of squares of their corresponding altitudes.

1. False
2. True