Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Below is the floor
plan of her kitchen.
2.5m
1.5m
14m
Jenny wants to know if she has got enough money to buy the tiles.
The tiles are sold in packs, which cover 3m
Jenny has a discount card which gives her 25% off any marked price at the DIY shop.
The tiles are marked at £14.40
Jenny has £100 to spend on the tiles.
How much extra does Jenny need to buy the tiles?
Give your answer in pence.

Jenny is going to tile her kitchen floor She has taken out all the furniture and appliances Below is the floor plan of her kitchen 25m 15m 14m Jenny wants to kn class=

Respuesta :

Answer:

Jenny needs £8 extra to buy the tiles.

Step-by-step explanation:

Jenny's kitchen floor is in the form of trapezoid.

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                [tex]=\frac{1}{2}(2.5+1.5)14[/tex]

                               = 28 meter²

One pack of tiles covers the area = 3 meter²

She needs the number of packs of tiles =  [tex]\frac{\text{total area }}{\text{area covered by one pack of tile}}[/tex]

[tex]=\frac{28}{3}[/tex]

= 9.33

Therefore, she has to purchase 10 packs of tiles.

Since the price of one pack of tiles = £14.40

Price of 10 packs of tiles = 14.40 × 10

                                                = £144

Price after using discount card of 25% = 144 -(25% of 144)

                                                                = 144 - (0.25 × 144)

                                                                = 144 - 36

                                                                = £108

Jenny has £100, so she needs £8 extra to buy the tiles.

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