ABCD IS A SQUARE
THE MEASURES SHOWN IN THE DIAGRAM ARE TO THE NEAREST METER
FIND THE LEAST POSSIBLE AREA OF THE SHADED REGION

(help plz idk what it means by LEAST possible area)
Plz help me solve this :))

ABCD IS A SQUARE THE MEASURES SHOWN IN THE DIAGRAM ARE TO THE NEAREST METER FIND THE LEAST POSSIBLE AREA OF THE SHADED REGION help plz idk what it means by LEAS class=

Respuesta :

you have to find the upper and lower bound of each measurement:

LB of 12 (nearest m) is 11.5m

UB of 12 is 12.5m

cuz anything between the bounds to the nearest metre will give 12

LB of 6 is 5.5

cuz any numbers between 5.5 and 6 rounded to the nearest whole number is 6

UB 6 is 6.5

cuz any numbers between 6 and 6.5 will round down to the nearest metre as 6

LB of 7 is 6.5

UB of 7 is 7.5

for the LEAST possible area you have to try and get the lowest possible value.

to get the lowest number, you have to do the LB - UB because a small number - a large number will give u a small number.

first find the area of the small rectangle and it has to be the largest area possible so you can minus a big number later on.

to do this multiply the upper bounds:

6.5 × 7.5 = 48.75 m squared

then find the area of the large square but this time you use the lower bounds.

11.5 × 11.5 = 132.25m squared

then minus these numbers.

132.25 - 48.75

= 83.5 m squared

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