use compatible numbers to estimate the quotient of 46.1÷2.3 plz help

The solution is:

small square side = 9 inches

large square side = 9 + 3 = 12 inches.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area of a square (A) is the product of its length (l) and width (l).

i.e. A= l× l

Let the smaller square have a side length of s

The the larger square have a side length of s + 3

Total area of the two squares is 225

Formula

s^2 + (s + 3)^2 = 225                  

Expand

we get,

Solution

s^2 + s^2 + 6s + 9 = 225

2s^2 + 6s + 9 = 225                  

Subtract 225 from both sides

2s^2 + 6s - 216 = 0                    

This factors.

( x  -   9)(x + 12) = 0

x - 9 =0

x + 12 = 0

x = 9 is the only valid root for this question.

Hence, The solution is:

small square side = 9 inches

large square side = 9 + 3 = 12 inches.

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complete question:

The length of each side of a square is 3 in more than the length of each side of a smaller square. The sum of the areas

the squares is 225 in. Find the lengths of the sides of the two squares.

A side of the small square is in.; a side of the big square is in.