Shooterybanez85idn
Answered

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What is the perimeter of a rectangle with an area of 96 m2 and whose width is 8 m?

Sagot :

Bellalesseidn
We need to find the length first before we solve for the perimeter.

The formula in finding the length of a rectangle is area divided by width.

96 \[tex]m^{2} [/tex] ÷ 8
12

The formula in finding the perimeter of a rectangle is 2(length) + 2(width).

P =  2(12) + 2(8)
      24 + 16
      40

The perimeter of the rectangle is 40 m.
Dominiidn
[tex]l=length \\ w=width \\ A=area \\ P=perimeter \\ \\ Formula\ of\ Area; \\ lw=a \\ \\ l(8\ m)=96\ m^2\ \ \ \ \ \ \ \ |\ Substitute\ w\to8\ m.\ and\ a\to96\ m^2... \\ \\ l= \frac{96\ m^2}{8\ m}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\ Transpose... \\ \\ \boxed{\boxed{length=12\ m}} \\ \\ \\ Formula\ of\ Perimeter; \\ P=2(l)=2(w) \\ \\ P=2(12\ m)+2(8\ m)\ \ \ \ \ \ \ \ \ \ |\ Substitute\ w\to8\ m.\ and\ l\to12\ m. \\ \\ P=24\ m+16\ m \\ \\ \boxed{\boxed{Perimeter=40\ m}} \\ \\ \\ Hope\ it\ Helps :) \\ Domini[/tex]