Question

1. Rectangle: the height is x - 6 and the width is x + 1. The area is 44m², find the perimeter.
2. Diaganol generated rectangle: the height is x - 1 and the width is x + 7. The area is 48cm², find x.

Answer 1

hey mate

here is your answer

1)-given:

height=x-6

width=x+1

area=44m²

=>(x-6)(x+1)=44

=>x²-5x-6=44

=>x²-5x-50=0

=>x²-10x+5x-50=0

=>x(x-10)+5(x-10)=0

=>(x-10)(x+5)=0

x=10,-5

but x≠-5. thus x=10

height=4m and width=11m

2)-given:

height=x-1

width=x+7

area=48cm²

(x-1)(x+7)=48

=>x²+6x-7=48

=>x²+6x-55=0

=>x²+11x-5x-55=0

=>x(x+11)-5(x+11)=0

=>(x+11)(x-5)=0

x=-11 , 5

but x≠-11

thus, height=4

width=12

#be brainly