The rectangle shown has an area of 48 cm2 and is modeled by the equation a = 2w2 + 3w, where w is the width. what is the perimeter of the rectangle? (to nearest tenth of a cm2)

A=w xl

48=2w^2+3w; 2w^2 +3w -48=0;

w=-3+_sqrt(9+8x48)/4

= -3+_sqrt 393/4

w=4.2 the other w we reject because is negative

P= 2xw +2(2w+3)=2w+4w+6=

6w+6=6x4.2+6= 31.2cm

Perimeter is 31.2cm

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

multiply length by height. multiply the length by the height, and then double the product. work out 10 x 10 results = 100 square inches, then work out 100 x 2 = 200. the answer is 200 square inches.

step-by-step explanation: