If the length of one side of a square is triple and the length of an adjacent side is increased by 10, the resulting rectangle has an area that is 6 times the area of the original square. find the length of a side pf the original square.

10

Step-by-step explanation:

Given: If the length of one side of a square is triple and the length of an adjacent side is increased by .

To Find: If area is times the area of original square find length of a side of original square.

Solution:

Let the side of original square be

area of original square

when length of side is tripled,

new length of one side of square

length of other side is increased by 10 unit

new length of other side of square

new area of resulting rectangle

As area of resulting rectangle is 6 times the original square

as length cannot be zero

Hence the length of a side of original square is

the infinity sign

step-by-step explanation:

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.