Mathematics: The diagram shows two joined rectangles. The total area of the compound shape ABCDEF is 36 cm^2. By considering the areas of the two rectangles, show that 2x^2 - 5x - 18 = 0 and hence find the value of length AB.

The diagram shows two joined rectangles. The

Ответ:

jaylene33002

28.01.2022

Mathematics

4.5 cm

Step-by-step explanation:

The total area is the sum of areas of two rectangles:

x(x-4)+3x(x-2)=36x²-4x+3x²-6x-36=04x²-10x-36=02x²-5x-18=02x²-9x+4x-18=0x(2x-9)+2(2x-9)=0(x+2)(2x-9)=0x+2=0 ⇒ x= -2 discarded as negative2x-9=02x=9x=4.5AB=4.5 cm

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Ответ:

hany90

28.01.2022

Mathematics

The value of AB is 9/2 or 4.5

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Ответ:

nadinealonzo7853

20.11.2020

Mathematics

$18

Step-by-step explanation:

we proceed by first solving for the unit cost of a sheet

then calculate the cost for any number of sheet

We are told that a builder could buy 6 sheets for the cost of $9

this means that one sheet would cost 9/6= $1.5

Now the builder buys 12 sheets

therefore the cost of 12 sheets will be

12*1.5= $18

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The diagram shows two joined rectangles. The total area of the compound shape ABCDEF is 36 cm^2. By considering the areas of the two rectangles, show that 2x^2 - 5x - 18 = 0 and hence find the value of length AB.

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