Serphidn
Answered

IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mabilis na sagot. Makakuha ng mga sagot sa iyong mga tanong mula sa aming mga eksperto, handang magbigay ng mabilis at tiyak na solusyon.

What is the area of a rectanglewhose sides are twice as long as the sides of a smaller rectangle whose area us 17 cm²

Sagot :

A = length x width

let x be the length and
    y be the width

Area of the smaller rectangle = 17 cm²

so, A = l x w
     17 = xy
      [tex] y = \frac{17}{x} [/tex]

Area of the bigger rectangle = 2x(2y)   --> for it is twice the sides of the smaller rectangle

A = 2x(2y)
   = 2x ([tex] \frac{2(17)}{x} [/tex])
   = 2x ([tex] \frac{34}{x} [/tex])
   = [tex] \frac{68x}{x} [/tex]
   = 68 cm²
[tex]Formula; \\ A=lw \\ \\ Let\ l\ be\ the\ length \\ Let\ w\ be\ the\ width \\ \\ Area\ of\ Small\ Rectangle=17cm^{2} \\ \\ Area=lw \\ 17=lw \\ \boxed{w= \frac{17}{l}} (to\ give\ the\ value\ of\ w) \\ \\ \\ Area\ of\ Big\ Rectangle=2l(2w) \\ \\ Area=2l(2w) \\ Area=2l( \frac{2\times17}{l}) \\ Area=2l( \frac{34}{l}) \\ Area=\frac{65l}{l} \\ \boxed{\boxed{Area=68\ cm^{2}}} \\ \\ Hope\ it\ Helps:) \\ Domini [/tex]