Question

The stevinth of a rectangular beam in proportional to the breadth and the square of the frepth. Fund the dimonions of the strobsest benm that can to eut from a chewlac lod ot \$85. Find the length of the stwortest ladder which why reach from ratite. Bh. the grotand level to a high vertical wall it 4 t must eiout an bift wertical fonce which in 27 ft from the whll. 34. Find the solume of the langeat conkcin tent that eas be coms 95. Find the area of the largest reqhal cross that can be instructed with a shant hestit of 12ff. cribed in a circle of radias F. (A regular cross is a square surmounted by four equal rectangles.). 26. A ladder 10 ft long leaths aganst a vericul whil. The appet and slips down the wall at 5ft/ aec. How tast is the ladder turning when it takes. an arugle of 30∘ with the bround? 27. Each of the equal sides of an isosceles Lriangle has constant length of 4 ft. If the angle θ between these sides in: creases at the rate of 10 rad /sec, find the rate at which the area is increasing when θ=π/3​ 28. The hypotenuse of a tight triangle is 25 ft. 1i athe of the acute angles increases at the rate of 4 degrees per second, how

Answer 1

The change in area and height of geometric shapes is proportional to their original dimensions, exemplified by the relationship between the cross-sectional areas and heights of two blocks.

Step-by-step explanation:

The question being asked involves the change in area which is proportional to the original area. It is given that the cross-sectional area of Block A is L x 2L = 2L², while that of Block B is 2L x 2L = 4L². Therefore, because the cross-sectional area of Block B is twice that of Block A, the change in the area of Block B will be twice that of Block A.

Furthermore, the change in height is proportional to the original height. If the original height of Block B is twice that of A, then the change in the height of Block B will be twice that of Block A. This relationship highlights the principles of scaling in geometry.