Area and Perimeter Notes

Name ______

AREA AND PERIMETER NOTES

Area and Perimeter of Parallelograms and Triangles

Ex. 1 Find the perimeter and area ofEx. 2 Find the area of

Ex. 3 Ex. 4

Ex. 5Real world: You need to buy enough wooden boards to make the frame of the triangular sandbox shown and enough sand to fill it. If one board is 3 feet long and one bag of sand fills 9 square feet of the sandbox, how many boards and bags do you need to buy?

Ex. 6Find the area of the equilateral triangle:

CHANGING DIMENSIONS

What happens to the perimeter if we take a triangle and triple its size?

If we multiply all dimensions by ______

then the PERIMETER______

and the AREA changes by ______

YOUR TURN!

(Like Ex. 1) Find the perimeter and area of(Like Ex. 2)Find the area of

(Like Ex. 3) Find area and perimeter.(Like Ex. 4) Find area and perimeter

Area and Perimeter of Trapezoids, Rhombi, and Kites

TRAPEZOIDS:

Ex. 1 Find the area of the trapezoid.Ex. 2 Find the area of the trapezoid.Ex. 3 Find the perimeter of the

Isosceles trapezoid.

Ex. 4 Trapezoid QRST has an area of 210 square yards. Ex. 5 If the dimensions of the trapezoid below are

Find the height of QRST.doubled, what is the effect on the area and perimeter?

RHOMBI AND KITES:

Ex. 4 Find the area of the kite.Ex. 5 Find the area of the rhombus.

Area and Circumference of Circles

Area = Circumference =

Ex. 1 Find the circumference.Ex. 2 Find the radius of a circle given

that the circumference is 12π inches.

Ex. 3 Find the area.Ex. 4 Find the radius of a circle given

that the area is 58 square inches.

Ex. 5 Find the shaded area of the circle below!Ex. 6 A swimming pool company manufactures circular

Leave your answer in exact form! (Pi Form)covers for above ground pools. If the cover is 8 in. longer than the pool on each side, find the area of the cover.

YOUR TURN!

(Like ex. 1) Find the circumference.(Like ex. 2) Find the radius of a circle given

that the circumference is 9.5 inches.

(Like Ex. 3) Find the area.(Like Ex. 4) Find the radius of a circle given

that the area is 34π square inches.

Area of REGULAR Polygons

a =

P =

Ex. 1 The top of the table shown is a regular hexagon with a side length of 3 feet and an apothem of 1.7 feet. What is the area of the tabletop to the nearest tenth?

Ex. 2 Find the area of the regular hexagon. Round to the nearest tenth.

YOUR TURN!

The top of an umbrella shown is a regular hexagon with a side length of 2 feet and an apothem of
1.5 feet. What is the area of the entire umbrella to the nearest tenth?

Find the area of the regular pentagon. Round to the nearest tenth.

Area of Composite Figures

Composite: ______

Ex:1 Find the area of the composite figure!

When viewed from above, the base of a water fountain has the shape of a hexagon, composed of a square and 2 congruent isosceles right triangles. What is the area and perimeter of the following layout for the fountain?

The dimensions of an irregularly shaped pool are shown. What is the area of the surface of the pool?

Find the area of the shaded figure. Leave in exact form!!

YOUR TURN!

Find the area of the shaded figure.

Cara wants to wallpaper one wall of her family room. She has a fireplace in the center of the wall. Find the area of the wall around the fireplace.