Question

Base = 8 cm
Height = ?
Area = 56 cm2

Answer 1

Step-by-step explanation:

It is given that the area of the rectangle is 56 cm

2

, the base is (x+5) and the height of the rectangle is (x−5).

We know that the area of the rectangle is A=b×h, therefore,

56=(x+5)(x−5)

⇒(x+5)(x−5)=56

⇒x

2

−5

2

=56(∵a

2

−b

2

=(a+b)(a−b))

⇒x

2

−25−56=0

⇒x

2

−81=

Answer 2

Answer:

A=1/2×base×height

56=1\2×8×h

56=4×h

56/4=8

base=8