Answer:
Let the breadth is x, then the length is 3x.
<u>The area is:</u>
<u>The breadth is decreased by 2 m: </u>
<u>The length is increased by 4m: </u>
<u>The area is now:</u>
- (x - 2)(3x + 4) = 3x² - 1/3(3x²)
- 3x² + 4x - 6x - 8 = 2x²
- x² - 2x - 8 = 0
- x² - 2x + 1 = 9
- (x - 1)² = 3²
- x - 1 = 3
- x = 4
The breadth was 4 m and the length 12 m
Answer:
Step-by-step explanation:
The math club makes 35 bars of laundry soap a week and sells these at $20 each. This means that the total number of bars of laundry soap made in a 4 week month would be
4 × 35 = 140 bars
If the pupils found that 6 bars were destroyed by mice, the total number of bars of soap left would be
140 - 6 = 134 bars
Therefore, the total sale at the end of a four week month would be
134 × 20 = $2680
Answer: 21,875 sqm
Step-by-step explanation:
Step 1:
Find the gross area of the garden.
Square 150m = 22,500 sqm.
Step 2:
Find the area of the pool.
Square 25m = 625 sqm.
Step 3:
Subtract the area of the pool from the gross area of the garden
to find the net area of the garden.
22,500 - 625 = 21,875 sqm.
Warning:
Do not subtract the side length of the swimming pool from the side length
of the garden before squaring.
Answer:
The correct answer is two designs are used 12 times each and other four designs are used for 13 times each.
Step-by-step explanation:
Width of the quilt Lu is making is 18 rows of 20 squares each.
Thus the perimeter of the quilt is 20 + 20 + 18 + 18 = 76.
We can also say there are 76 square as the boundary which are to be bordered with toy designs.
Each square can hold 1 design of toy and there are 6 different designs of toys.
Thus number of times each design is used
= 12
.
Thus there are two designs used 12 times each and other four designs are used for 13 times each.
Answer:
176/231
Step-by-step explanation:
88 blue marbles, 55 green marbles, and 88 red marbles =231 marbles
P (blue or red marble) = number of red or blue/ total
= 88+88 / 231
=176/231