Question

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Answer 1

x = 6

Explanation:

Area of rectangle = length * width

= 10 * (x +2)

= 10*x + 10*2

= 10x + 20 square units

Area of triangle =
`(1)/(2)*bh`

`=(1)/(2)*2*(x + 4)\\\\\\=1 * (x +4)\\\\\\`

= (x + 4) square units

Area of rectangle = 8* area of triangle

10x + 20 = 8 *( x+ 4)

10x + 20 = 8x + 32

Subtract 20 form both sides.

10x = 8x + 32 - 20

10x = 8x + 12

Subtract 8x form both sides

10x - 8x = 12

2x = 12

Divide both sides by 2

2x/2 = 12/2

x = 6