Rebecca is taking measurements of her window so she can order custom-made blinds online. She discovers her window is 24 1/2 inches by 30 3/8 inches. The website recommends ordering outside-mounted blinds which are 2 percent larger than the window. The site asks for blind measurements in decimals rounded up to the nearest tenth. What size blinds should Rebecca order?

Respuesta :

we know that

the dimensions of the windows are-------> 24 1/2 in x 30 3/8 in
24 1/2------> (24*2+1)/2-----> 49/2 in
30 3/8-----> (30*8+3)/8-----> 243/8 in

 The dimensions 2 percent larger than the window are
(49/2)*1.02-----> 24.99 in-------> 25 in
243/8*1.02-----> 30.9825 in-----> 31 in

the answer is
25 in x 31 in

Answer:

Dimensions of the window blinds should be 25 inches × 31 inches

Step-by-step explanation:

Rebecca's window dimensions are [tex]24\frac{1}{2}=\frac{49}{2}[/tex] inches by [tex]30\frac{3}{8}=\frac{243}{8}[/tex] inches

The website recommends ordering outside mounted blinds 2% larger than the window.

Therefore, length of the window blind = [tex]\frac{49}{2}+(\frac{2}{100} \times \frac{49}{2})[/tex]

= [tex]\frac{49}{2}(1+\frac{2}{100})[/tex]

= [tex]\frac{49}{200}[/tex]

= 24.99 inches

≈ 25.0 inches

Now width of the window blind = [tex]\frac{243}{8}+\frac{2}{100}\times \frac{243}{8}[/tex]

= [tex]\frac{243}{8}(1+\frac{2}{100})[/tex]

= [tex]\frac{243}{8}(\frac{102}{100})[/tex]

= 30.98

≈ 31.0 inches

Therefore, dimensions of the window blinds will be 25 inches × 31 inches

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