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Mathematics, 26.05.2021 22:30 wowwowumbsi

COMPOSITE‌ ‌FIGURES‌ ‌ ‌
Congratulations!‌ ‌ ‌You‌ ‌are‌ ‌the‌ ‌proud‌ ‌new‌ ‌owner‌ ‌of‌ ‌a‌ ‌
beautiful‌ ‌home!‌ ‌Below‌ ‌is‌ ‌a‌ ‌blueprint‌ ‌of‌ ‌your‌ ‌house.‌ ‌Use‌ ‌
the‌ ‌blueprint‌ ‌to‌ ‌help‌ ‌you‌ ‌make‌ ‌some‌ ‌important‌ ‌
calculations.‌ ‌


Question‌ ‌#1:‌ ‌ ‌You‌ ‌are‌ ‌planning‌ ‌to‌ ‌install‌ ‌new‌ ‌carpet‌ ‌in‌ ‌the‌ ‌
master‌ ‌bedroom‌‌ ‌and‌ ‌the‌ ‌‌master‌ ‌closet‌.‌ ‌The‌ ‌price‌ ‌of‌ ‌the‌ ‌carpet‌ ‌
is‌ ‌$1.34‌ ‌per‌ ‌square‌ ‌foot.‌ ‌Determine‌ ‌the‌ ‌price‌ ‌you’ll‌ ‌need‌ ‌to‌ ‌pay‌ ‌
for‌ ‌the‌ ‌carpet.‌ ‌

The‌ ‌total‌ ‌area‌ ‌of‌ ‌the‌ ‌bedroom‌ ‌&‌ ‌closet:‌ ‌229‌ ‌square‌ ‌feet‌ ‌

The‌ ‌total‌ ‌cost‌ ‌of‌ ‌the‌ ‌carpet:‌ ‌‌$‌ ‌306,‌ ‌86‌ ‌


Question‌ ‌#2:‌ ‌ ‌The‌ ‌‌kitchen‌‌ ‌and‌ ‌the‌ ‌‌dining‌ ‌room‌‌ ‌need‌ ‌new‌ ‌tile.‌ ‌
The‌ ‌cost‌ ‌of‌ ‌the‌ ‌tile‌ ‌is‌ ‌$2.87‌ ‌per‌ ‌square‌ ‌foot.‌ ‌Calculate‌ ‌the‌ ‌total‌ ‌
cost‌ ‌of‌ ‌the‌ ‌tile.‌ ‌(Helpful‌ ‌hint:‌ ‌To‌ ‌find‌ ‌the‌ ‌area‌ ‌of‌ ‌a‌ ‌circle,‌ ‌you‌ ‌
multiply‌ ‌‌‌ ‌x‌ ‌radius‌ ‌x‌ ‌radius.‌ ‌‌A‌ ‌semicircle‌ ‌is‌ ‌‌half‌ ‌‌of‌ ‌a‌ ‌circle)‌ ‌ ‌
(‌‌‌ ‌=‌ ‌3.14)‌ ‌

Total‌ ‌area‌ ‌of‌ ‌the‌ ‌kitchen‌ ‌and‌ ‌dining‌ ‌room:‌ ‌803.84‌ ‌

Total‌ ‌cost‌ ‌of‌ ‌the‌ ‌tile:‌ ‌‌$2,307.02‌ ‌



Question‌ ‌#3:‌ ‌‌You‌ ‌are‌ ‌going‌ ‌to‌ ‌convert‌ ‌‌bedroom‌ ‌2‌ ‌‌into‌ ‌your‌ ‌new‌ ‌
office.‌ ‌You‌ ‌would‌ ‌like‌ ‌to‌ ‌install‌ ‌hardwood‌ ‌floors.‌ ‌The‌ ‌cost‌ ‌of‌ ‌the‌ ‌
hardwood‌ ‌is‌ ‌$3.05‌ ‌per‌ ‌square‌ ‌foot.‌ ‌Calculate‌ ‌the‌ ‌total‌ ‌cost‌ ‌of‌ ‌
the‌ ‌bedroom‌ ‌(not‌ ‌the‌ ‌closet).‌ ‌ ‌

Total‌ ‌area‌ ‌of‌ ‌the‌ ‌bedroom:‌ ‌64‌ ‌

Total‌ ‌cost‌ ‌of‌ ‌the‌ ‌hardwood:‌ ‌‌$196.2‌ ‌



Question‌ ‌#4:‌ ‌ ‌The‌ ‌floors‌ ‌in‌ ‌the‌ ‌‌family‌ ‌room‌‌ ‌and‌ ‌‌entry‌ ‌‌need‌ ‌to‌ ‌be‌ ‌
professionally‌ ‌cleaned.‌ ‌The‌ ‌cleaning‌ ‌company‌ ‌you‌ ‌hired‌ ‌
charges‌ ‌$0.52‌ ‌per‌ ‌square‌ ‌foot.‌ ‌Calculate‌ ‌the‌ ‌total‌ ‌cost‌ ‌to‌ ‌clean‌ ‌
the‌ ‌floors.‌ ‌

Total‌ ‌area‌ ‌of‌ ‌the‌ ‌family‌ ‌room‌ ‌and‌ ‌entry:‌ ‌

Total‌ ‌cost‌ ‌of‌ ‌the‌ ‌cleaning:‌ ‌‌$‌ ‌




Question‌ ‌#5:‌ ‌ ‌You‌ ‌decided‌ ‌to‌ ‌paint‌ ‌one‌ ‌of‌ ‌the‌ ‌walls‌ ‌in‌ ‌the‌ ‌‌dining‌ ‌
room‌‌ ‌the‌ ‌color‌ ‌blue.‌ ‌The‌ ‌shape‌ ‌of‌ ‌the‌ ‌wall‌ ‌is‌ ‌shown‌ ‌below.‌ ‌One‌ ‌
gallon‌ ‌of‌ ‌paint‌ ‌covers‌ ‌50‌ ‌square‌ ‌feet.‌ ‌The‌ ‌wall‌ ‌will‌ ‌need‌ ‌two‌ ‌
coats‌ ‌of‌ ‌paint.‌ ‌How‌ ‌many‌ ‌gallons‌ ‌of‌ ‌paint‌ ‌will‌ ‌you‌ ‌need‌ ‌to‌ ‌buy?‌ ‌



Total‌ ‌area‌ ‌of‌ ‌the‌ ‌wall:‌ ‌

Gallons‌ ‌of‌ ‌paint‌ ‌needed:‌ ‌













Question‌ ‌#6:‌ ‌ ‌In‌ ‌the‌ ‌backyard,‌ ‌you‌ ‌are‌ ‌planning‌ ‌on‌ ‌installing‌ ‌a‌ ‌
small‌ ‌‌putting‌ ‌green‌‌ ‌to‌ ‌practice‌ ‌your‌ ‌golf‌ ‌skills.‌ ‌The‌ ‌shape‌ ‌of‌ ‌the‌ ‌
putting‌ ‌green‌ ‌is‌ ‌shown‌ ‌below.‌ ‌If‌ ‌you‌ ‌want‌ ‌to‌ ‌place‌ ‌artificial‌ ‌
grass‌ ‌(‌turf‌)‌ ‌on‌ ‌this‌ ‌space,‌ ‌what‌ ‌will‌ ‌be‌ ‌the‌ ‌total‌ ‌cost‌ ‌of‌ ‌the‌ ‌turf‌ ‌if‌ ‌
each‌ ‌square‌ ‌foot‌ ‌costs‌ ‌$3.15?‌ ‌

Total‌ ‌area‌ ‌of‌ ‌the‌ ‌putting‌ ‌green:‌ ‌

Total‌ ‌cost‌ ‌of‌ ‌the‌ ‌turf:‌ ‌‌$‌ ‌


COMPOSITE‌ ‌FIGURES‌ ‌

‌
Congratulations!‌ ‌ ‌You‌ ‌are‌ ‌the‌ ‌proud‌ ‌new‌ ‌owner‌ ‌of‌ ‌a‌ ‌
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COMPOSITE‌ ‌FIGURES‌ ‌ ‌
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