The length of the side of a square is 4.89cm. Round to 1 significant figure first before finding the estimated area. (Area NOT Perimeter) *

Area = 25cm²

Step-by-step explanation:

Given

Length of a square = 4.89cm

Required

Estimate the area of the square

The question says that the length of the side of the square be approximated to 1 significant figure.

When 4.89cm is approximated, it gives 5cm.

At this point, the area of the square can be estimated.

Area = Length * Length

Area = 5cm * 5cm

Area = 25cm²

Hence, the estimated area of the square is 25cm²

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4