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7-34.Find the perimeter and area of each algebra tile shape below. Be sure tocombine like terms.

734Find The Perimeter And Area Of Each Algebra Tile Shape Below Be Sure Tocombine Like Terms class=

Sagot :

We have the following:

a.

we have that the perimeter of a figure is the sum of all the sides

[tex]\begin{gathered} p=\frac{3}{4}x+2x+\frac{3}{4}x+2x \\ p=\frac{11}{2}x \end{gathered}[/tex]

For the area:

[tex]\begin{gathered} A=A_1+A_2+A_3 \\ A=\frac{3}{4}x\cdot\frac{4}{3}x+\frac{1}{2}x\cdot\frac{1}{2}x+\frac{1}{4}x\cdot\frac{1}{4}x \\ A=x^2+\frac{x^2}{4}+\frac{x^2}{16} \\ A=\frac{21}{16}x^2 \end{gathered}[/tex]

b.

For perimeter

[tex]\begin{gathered} p=x+\frac{7}{4}x+x+\frac{7}{4}x \\ p=\frac{11}{2}x \end{gathered}[/tex]

For area:

[tex]\begin{gathered} A=A_1+A_2+A_3 \\ A=x\cdot\frac{1}{4}x+\frac{5}{4}x\cdot\frac{1}{4}x+x\cdot\frac{1}{4}x \\ A=\frac{13}{16}x^2 \end{gathered}[/tex]

View image KarriW784970
View image KarriW784970