Diamond wants to buy her god son some toys that will fill his new toy chest that is 3 feet by 2 feet. She knows that it will take 320 toys to fill 1 foot squared. How much would she spend on toys at Target to fill the chest. Use the formula A=L×W

1920 toys

Step-by-step explanation:

Area of new toy chest :

Area = Length * width

Area = 3 feets * 2 feets

Area of new toy chest = 6 ft²

If ;

1 square foot requires 320 toys

6 ft² = (320 * 6) = 1920 toys

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4