The area of a small square patio is 42 square feet. the length of each side of the patio is √42 feet. between what two whole-number measurements does √42 feet lie?

a) 4 feet and 5 feet
b) 11 feet and 12 feet
c) 22 feet and 24 feet
d) 528 feet and 530 feet

The answer is A.

Step-by-step explanation:

Because the square root of 42 is about 6 and those two numbers are close to 6.

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2x3 – 6x2 – 14x + 24 square centimeters

if i'm wrong i'm sorry : )

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.