Question

Help me answer the question please ​

Answer 1

see explanation

Explanation:

(10)

(a)

The opposite sides of the rectangle are equal, then perimeter P is

P = 2(4p - 6) + 2(p + 13) ← distribute parenthesis and simplify

= 8p - 12 + 2p + 26

= 10p + 14

Given P = 84 , then

10p + 14 = 84 ( subtract 14 from both sides )

10p = 70 ( divide both sides by 10 )

p = 7

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(b)

The area (A) of the shaded region is calculated as

A = area of rectangle - area of triangle

area of rectangle = (4p - 6)(p + 13) ← expand using FOIL

= 4p² + 46p - 78 ← substitute p = 7

= 4(7)² + 46(7) - 78

= 4(49) + 322 - 78

= 196 + 244

= 440 cm²

area of triangle =
`(1)/(2)` bh

=
`(1)/(2)`( 3p - 3)( p + 13) ← substitute p = 7

=
`(1)/(2)`(3(7) - 3)(7 + 13)

=
`(1)/(2)`(21 - 3)(20)

=
`(1)/(2)` × 18 × 20 = 9 × 20 = 180 cm²

Then

A = 440 - 180 = 260 cm²

(11)

pole B =
`(1)/(2)` × 72 = 36

pole A =
`(5)/(6)` × 36 = 5 × 6 = 30 m

Answer 2

ok it is very hard question