# The side of a square is x meters. the midpoints of the sides are joined another square whose area is 16m. find the value of x and the area of the portion of the bigger square that is outside the smaller square

1
by paulezekiel19

2015-04-28T16:45:10+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Lets say there is a square, then place 4 points on the midpoint of each side. Now connect the dots of the midpoint... which will result like a square but it looks more of a diamond. Then calculate each side with 45 45 90. So if you think, the area of the diamond shaped square if 16m, use the formula.

A=s²
16 m=s²
Square root both sides
s=4 m

Now, the opposite side of the 90 degrees has a side length of 4 m, now use the 45, 45, 90 angle theorem, which states that the opposite side of the 45 is equal to the length of the opposite side of 90 divided by the square root of 2.

The opposite side of 90 (the length) is 4 m
4 m/√2 = 2√2

Therefore the value of x is 2√2, now that is only half of the side, so double it you have 4√2 m.

Find the area of the bigger square:
A=s²
A=(4√2 m)²
A=32 m²
slamat
thanks
210 238 243 247 212 230
227 242 233 211 217 228
218 253 251 222 227 242
254 227 244 231 209 200
find the class interval