Answered

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I recently bought a sheet of postage stamps with a dragon theme. If each stamp is 7/8 inch wide and 1-1/4 inches long what's the area and perimeter of each stamp?

Sagot :

boffeemadrid

Answer:

[tex]1\dfrac{3}{32}\ \text{inches}^2[/tex]

[tex]4\dfrac{1}{4}\ \text{inches}[/tex]

Step-by-step explanation:

w = Width of a stamp = [tex]\dfrac{7}{8}\ \text{inch}[/tex]

l = Length of a stamp = [tex]1\dfrac{1}{4}\ \text{inch}[/tex]

Area is given by

[tex]A=lw\\\Rightarrow A=\dfrac{7}{8}\times 1\dfrac{1}{4}\\\Rightarrow A=\dfrac{7}{8}\times \dfrac{5}{4}\\\Rightarrow A=\dfrac{35}{32}\\\Rightarrow A=1\dfrac{3}{32}\ \text{inches}^2[/tex]

The area of each stamp is [tex]1\dfrac{3}{32}\ \text{inches}^2[/tex]

Perimeter is given by

[tex]P=2(l+w)\\\Rightarrow P=2(\dfrac{7}{8}+\dfrac{5}{4})\\\Rightarrow P=2\times \dfrac{17}{8}\\\Rightarrow P=\dfrac{17}{4}=4\dfrac{1}{4}\ \text{inches}[/tex]

The perimeter of each stamp is [tex]4\dfrac{1}{4}\ \text{inches}[/tex].

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