Answer:
Area of the rectangle = 95 cm²
Step-by-step explanation:
Perimeter of the rectangle = Sum of the measures of the sides of the rectangle
From the figure attached,
Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]
39 = 2(5x + 2)
39 = 10x + 4
10x = 39 - 4
10x = 35
x = 3.5
Therefore, measure of the given sides will be,
Length = (3x - 1) cm
3x - 1 = (3×3.5) - 1
= 10.5 - 1
= 9.5 cm
Width = (2x + 3) cm
2x + 3 = (2×3.5) + 3
= 7 + 3
= 10 cm
Area of the rectangle = Length × width
= 9.5 × 10
= 95 cm²
Therefore, area of the rectangle is 95 cm².
Answer:
True
Step-by-step explanation:
Answer:
8.9 cm to 1 dec. place.
Step-by-step explanation:
First, use Pythagoras to find the length of BD.
BD^2 = 6^2 + 7^2 = 85
BD = √85.
BM = √85 / 2.
Consider the triangle TBM, by Pythagoras:
TB^2 = BM^2 + MT^2
MT^2 = 10^2 - (√85 / 2 )^2
= 100 - 21.25
= 78.75.
MT = 8.874
Answer:
A = 102 cm^2
Step-by-step explanation:
This figure is a trapezoid. The area is given by
A = 1/2 (b1+b2) *h where b1 is the base and b2 is the top
b1 = 21 b2 = (6+7) and h = 6
A = 1/2 (21+13) *6
A = 1/2 (34)*6
A = 102 cm^2
Answer:
2000 eels
Step-by-step explanation:
Let us represent the total estimate of the eels = x
She returns the 50 eels to the lake.
The next day Hannah catches 400 eels, of these 400 eels, 10 are ringed.
To solve the above question, we have the following:
50/x = 10/400
Cross Multiply
10x = 50 × 400
x = 50 × 400/10
x = 2000 eels
Therefore, the total estimate of the eels in the lake = 2000 eels
