Question

Q2 The length of a rectangle with area 98 square centimeters is 14 centimeters. What is the diagonal
of the rectangle, in centimeters

Answer 1

Answer:

We are given the area of the square.

We can find the side of the square, using the area formula.

Area of a square: Area = (Side)2

⇒(Side)2=98

Since all the sides have equal magnitudes, we can consider any one side for the calculation.

⇒(AB)2=98

⇒AB=√98

⇒AB≈9.899494937

⇒AB≈9.9 units.

Since all the sides are equal,

AB=BD=CD=AD

Hence, we observe that

AB≈9.9andAC=9.9 units

Step 2:

Consider the right triangle BAC

Pythagoras Theorem:

(BC)2=(AC)2+(AB)2

(BC)2=9.92+9.92

Using the calculator,

(BC)2=98.01+98.01

(BC)2=196.02

BC=√196.02

BC≈14.00071427