Question

The base of a parallelogram is 7 more than the

height. If the area is 120 ft², find the length of the
base and the height.

Answer 1

Explanation:

Sol'n,

The base length of //gm is let to be "b" and the height can be let as "h"

so ,acc to q,

b = h+7

or , h= b-7...(i)

and, the area is 120 sq. ft

Now, Area= b * h

or, 120=b (b-7) {from eqn (i)}

or, 120= b^2- 7b

or, b^2-7b-120=0

Now if we just continue on using mid term factorization,

we get b as 15 or -8 ft and since it cant be negative the base is 15 ft

Finally, the height becomes h=15-7=8 ft...