The length of a rectangle is 6 meters longer than the width. if the area is 22 square meters find the rectangle's dimension rounded to the nearest tenth of a meter.

no solution

Step-by-step explanation:

the length of a rectangle is 6 + w. the area of a rectangle is L*W. we then plug in the found length to the equation.

(6+w)*w = 22. distribute and subtract 22

w^2+6w-22=0. now we would factor, but this equation is not factorable. so we can only go with no solution. (the only multiples of -22 are 11 and -2 and -11 and 2 or -22 and 1 and 22 and -1, both don't add up to 6)

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

5

step-by-step explanation: