Answer:
Area of rectangle PLUM = 75.00 square units
Step-by-step explanation:
Since diagonal of rectangle divides the rectangle into two equal triangles,
Therefore, area of the rectangle PLUM = 2× area of triangle PLM
By the mean proportional theorem,
In ΔPLM,
AP² = AM × AL
6² = AM × 8
AM = 
AM = 4.5 units
Area of PLM = 
= 
= 
= 12.5 × 3
= 37.5 units²
Now area of rectangle PLUM = 2×37.5 = 75 units²
Therefore, area of the rectangle is 75.00 square units.
Answer:
a) (2+8)+9
b) (3+7)+5+4
c) (4+16)+2
d) (31+9)+4
Step-by-step explanation:
a) 2+9+8
2 and 8 add up to 10, so we regroup them in parentheses
(2+8)+9
b) 3 + 5 + 4 + 7
3 and 7 add up to 10, so we regroup them in parentheses
(3+7)+5+4
c) 4 + 2 + 16
4 and 16 add up to 20 which is a multiple of 10, so we regroup them in parentheses
(4+16)+2
d) 31 + 4 + 9
31 and 9 add up to 40 which is a multiple of 10, so we regroup them in parentheses
(31+9)+4
We are given with the rectangle shaped deck which has a width of 29 feet and a perimeter of 134 feet. the perimeter of a rectangle is equal to twice the sum of length and width. hence the equation goes :
134 ≤ 2* (29 + L)
67 <span>≤ 29 + L
38 </span><span>≤ L
length should be greater or less than 38 feet</span>
So George did't put parentheses around total snack amount to subtract his $15.He would need the total purchases to subtract amount by $15.
Answer:
Step-by-step explanation:
It’s a cube with edge length of 12 cm.
The cube has six faces, and the are ma if each face is 144 cm²
Total surface area = 6×144 = 864 cm²
