Geometry Answers

The areas of two similar polygons are 72 sq. cm. and 50 sq. cm. A side of the

larger polygon is 4 cm. Find the corresponding side in the smaller polygon.

The bases of a trapezoid are 2.4 dm. and 5.6 dm. and the altitude is 5 dm. Find the

area of the trapezoid.

The area of a triangle is 18 square meters, and the base of the triangle is 9 meters.

Find the altitude of the triangle.

The base of a parallelogram is 3 feet and its altitude is 7 feet

. Find in square feet the area of the parallelogram.

Given two regu

lar polygons of the same number of sides. If the area of the first is

3 times the area of the second, find the ratio of (a) their perimeters, and (b) their

apothems.

The sides of two regular octagons are 3 inches and 8 inches. Find the ratio of

(a) their perimeters, (b) their radii, and (c) their areas.

The radius of a circle is 18. Find the length of the peri

meter and the apothem of a

regular

(a) inscribed quadrilateral,

and

(b) circumscribed hexagon.

Can two rectangles have:

a.

equal areas and unequal perimeters?

b.

equal perimeters and unequ

al areas?

c.

equal perimeters and unequal diagonals?

d.

equal diagonals, and unequal perimeters?

e.

equal diagonals, equal bases, and unequal perimeters?

f.

equal diagonals, equal altitudes, and unequal areas?

Express:

a.

the altitude h of an equilateral triangle as a function of its side s

b.

the hypotenuse c of a r

ight triangle as a function of side s.

c.

a side s of a square as a function of its diagonal d.

d.

the median m of a trapezoid as a function of its area A and its altitude h.

The area of the creative play space will only be used by the primary students. The total area of the yard is 800 m2 . Calculate the area of the yard that will be used by junior and intermediate students.