Rectangles Section 3-4-4. Rectangles and Algebra To solve questions involving geometric shapes first...
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Transcript of Rectangles Section 3-4-4. Rectangles and Algebra To solve questions involving geometric shapes first...
![Page 1: Rectangles Section 3-4-4. Rectangles and Algebra To solve questions involving geometric shapes first draw a picture use formulas or common sense. A rectangle's.](https://reader036.fdocuments.us/reader036/viewer/2022082506/5697bfbf1a28abf838ca3368/html5/thumbnails/1.jpg)
Rectangles
Section 3-4-4
![Page 2: Rectangles Section 3-4-4. Rectangles and Algebra To solve questions involving geometric shapes first draw a picture use formulas or common sense. A rectangle's.](https://reader036.fdocuments.us/reader036/viewer/2022082506/5697bfbf1a28abf838ca3368/html5/thumbnails/2.jpg)
Rectangles and Algebra
To solve questions involving geometric shapes
first draw a pictureuse formulas or common sense.
A rectangle's perimeter is found by adding all the sides. Most of these questions can be solved using common senseThese questions are also a good way to practice two step equations.
![Page 3: Rectangles Section 3-4-4. Rectangles and Algebra To solve questions involving geometric shapes first draw a picture use formulas or common sense. A rectangle's.](https://reader036.fdocuments.us/reader036/viewer/2022082506/5697bfbf1a28abf838ca3368/html5/thumbnails/3.jpg)
Perimeter
My table is 24 in by 48 in. What is the area and perimeter?
First draw and label a picture (rectangle).
Second choose a formula. P=2l+2w
Fill in the known values. P=2(48)+2(24)
Simplify. P=96+48
Solve. P=144 in.
24 in
48 in
![Page 4: Rectangles Section 3-4-4. Rectangles and Algebra To solve questions involving geometric shapes first draw a picture use formulas or common sense. A rectangle's.](https://reader036.fdocuments.us/reader036/viewer/2022082506/5697bfbf1a28abf838ca3368/html5/thumbnails/4.jpg)
Area
A=lw
48(24)=1152 sq. in.
![Page 5: Rectangles Section 3-4-4. Rectangles and Algebra To solve questions involving geometric shapes first draw a picture use formulas or common sense. A rectangle's.](https://reader036.fdocuments.us/reader036/viewer/2022082506/5697bfbf1a28abf838ca3368/html5/thumbnails/5.jpg)
Rectangles with Algebra
Jan’s art teacher told her to make a frame with the length three times the width. The perimeter is 144 inches. What are the dimensions and area of the picture?
w
l=3w
![Page 6: Rectangles Section 3-4-4. Rectangles and Algebra To solve questions involving geometric shapes first draw a picture use formulas or common sense. A rectangle's.](https://reader036.fdocuments.us/reader036/viewer/2022082506/5697bfbf1a28abf838ca3368/html5/thumbnails/6.jpg)
Use perimeter to find width
PerimeterFirst draw and label a picture (rectangle). Second choose a formula. P=2l+2wFill in the known values. 144=2l+2w l=3wSimplify. 144=2(3w)+ 2w
![Page 7: Rectangles Section 3-4-4. Rectangles and Algebra To solve questions involving geometric shapes first draw a picture use formulas or common sense. A rectangle's.](https://reader036.fdocuments.us/reader036/viewer/2022082506/5697bfbf1a28abf838ca3368/html5/thumbnails/7.jpg)
Use Perimeter to find width
Solve. 144 6 2
144 8
144 88 8
18
3 3(18) 54
w w
w
w
w
l w
![Page 8: Rectangles Section 3-4-4. Rectangles and Algebra To solve questions involving geometric shapes first draw a picture use formulas or common sense. A rectangle's.](https://reader036.fdocuments.us/reader036/viewer/2022082506/5697bfbf1a28abf838ca3368/html5/thumbnails/8.jpg)
Now Find Area
Area
New Formula
A=lw
54(18)=972 sq. in.